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Finding the Fourth Proportional to 498,397.80, 747,711.18 and 143,414.76

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Solution

The fourth proportional to 498,397.80, 747,711.18 and 143,414.76 is: 215,155.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,397.80 : 747,711.18 = 143,414.76 : x
  2. Step 2: Convert to fraction form
    498,397.80/747,711.18 = 143,414.76/x
  3. Step 3: Cross multiply
    498,397.80x = 747,711.18 × 143,414.76
  4. Step 4: Simplify right side
    498,397.80x = 107,232,819,429.02
  5. Step 5: Solve for x
    x = 107,232,819,429.02/498,397.80
  6. Step 6: Final answer
    x = 215,155.08

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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.