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Finding the Fourth Proportional to 332,414.70, 497,920.05 and 220,148.70

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Solution

The fourth proportional to 332,414.70, 497,920.05 and 220,148.70 is: 329,758.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,414.70 : 497,920.05 = 220,148.70 : x
  2. Step 2: Convert to fraction form
    332,414.70/497,920.05 = 220,148.70/x
  3. Step 3: Cross multiply
    332,414.70x = 497,920.05 × 220,148.70
  4. Step 4: Simplify right side
    332,414.70x = 109,616,451,711.44
  5. Step 5: Solve for x
    x = 109,616,451,711.44/332,414.70
  6. Step 6: Final answer
    x = 329,758.14

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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.