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Finding the Fourth Proportional to 498,414.92, 747,633 and 178,587.68

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Solution

The fourth proportional to 498,414.92, 747,633 and 178,587.68 is: 267,885.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,414.92 : 747,633 = 178,587.68 : x
  2. Step 2: Convert to fraction form
    498,414.92/747,633 = 178,587.68/x
  3. Step 3: Cross multiply
    498,414.92x = 747,633 × 178,587.68
  4. Step 4: Simplify right side
    498,414.92x = 133,518,042,961.44
  5. Step 5: Solve for x
    x = 133,518,042,961.44/498,414.92
  6. Step 6: Final answer
    x = 267,885.33

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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.