During the Christmas holiday, the Nintendo Wii was one of the most preferred gifts. This demand increased prices of the Nintendo Wii far beyond its suggested retail price. In the month of October, the price of the Wii, at some retailers, increased by 42.6% over the suggested retail price. In the month of November, the price of the Wii, at some retailers, increased by an additional 72.7%. If, by the end of November, the selling price at some retailers is $429.95, determine the suggested retail price.
Let the suggested retail price be x. After the October increase, the price is 1.426x; the additional 72.7% increase in November makes it 1.727 × 1.426x = 2.462702x. Thus x = $429.95 ÷ 2.462702 ≈ $174.58, so the suggested retail price is $174.58.
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