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Finding the Fourth Proportional to 352,123.60, 527,407.80 and 185,717.20

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Solution

The fourth proportional to 352,123.60, 527,407.80 and 185,717.20 is: 278,165.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,123.60 : 527,407.80 = 185,717.20 : x
  2. Step 2: Convert to fraction form
    352,123.60/527,407.80 = 185,717.20/x
  3. Step 3: Cross multiply
    352,123.60x = 527,407.80 × 185,717.20
  4. Step 4: Simplify right side
    352,123.60x = 97,948,699,874.16
  5. Step 5: Solve for x
    x = 97,948,699,874.16/352,123.60
  6. Step 6: Final answer
    x = 278,165.68

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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.