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Finding the Fourth Proportional to 442,906.60, 664,359.90 and 176,708.20

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Solution

The fourth proportional to 442,906.60, 664,359.90 and 176,708.20 is: 265,062.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,906.60 : 664,359.90 = 176,708.20 : x
  2. Step 2: Convert to fraction form
    442,906.60/664,359.90 = 176,708.20/x
  3. Step 3: Cross multiply
    442,906.60x = 664,359.90 × 176,708.20
  4. Step 4: Simplify right side
    442,906.60x = 117,397,842,081.18
  5. Step 5: Solve for x
    x = 117,397,842,081.18/442,906.60
  6. Step 6: Final answer
    x = 265,062.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.