With some prior experience in Russian projects, I can confirm that stealing from the public is the way of life. This will possibly never change. Big part of why Russia stays in tact as a nation is what I'd like to call "theft allowance" - an unwritten rule.
Once the heads of rural areas lose personal access to incoming public funds deemed for public good, they will start to seek independence. Even with Sochi Olympics, funds went missing, delays were rampant, and Putin himself had to show up to keep "ratting" at bay. But even with his powers, he knows that he can't weed out︀ ratting completely without putting his nations integrity, and his presidency at risk.
Approximately 60% of︁ what Moscow issues for public spending in rural areas will be used according to plan.︂ Like a network of old pipes, the rest will leak somewhere in transition. Every middleman,︃ and heads of a municipalities will pocket some. That's how the country works.
On a︄ positive note, this generally does not harm non-Russians. Slimy funds from the EU, on the︅ other hand, are commonly bribes for an unfair corporate advantage, hidden somewhere in 500+ page︆ legislative changes: "who pays sets the rules", and competition does not know what hit them︇ until its too late.