While you were getting the second quarter during step 3, the dime would have eaten the quarter. Kudos for trying, but I really think that either this is impossible, or the information is wrong. I've seen this type of puzzle before (granted in situations that make more sense than coins), but not this.
Here's a legit one:
You have some cabbage, a goat, and a dog. You need to take all of them across a river, but because the bridge is crappy, you can only take one at a time with you. If left without your supervision, the goat would eat the cabbage, and the dog would eat the goat. How do you get all of them across without being eaten?
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C |~~~|
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G |~~~|

|XXXX|
D |~~~|
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I made a fun little diagram for the heck of it. The smiley face is you.