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Finding the Fourth Proportional to 498,974.70, 748,389.15 and 143,951.70

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Solution

The fourth proportional to 498,974.70, 748,389.15 and 143,951.70 is: 215,906.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,974.70 : 748,389.15 = 143,951.70 : x
  2. Step 2: Convert to fraction form
    498,974.70/748,389.15 = 143,951.70/x
  3. Step 3: Cross multiply
    498,974.70x = 748,389.15 × 143,951.70
  4. Step 4: Simplify right side
    498,974.70x = 107,731,890,404.06
  5. Step 5: Solve for x
    x = 107,731,890,404.06/498,974.70
  6. Step 6: Final answer
    x = 215,906.52

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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.