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Finding the Fourth Proportional to 415,350.38, 623,025.51 and 99,807.29

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Solution

The fourth proportional to 415,350.38, 623,025.51 and 99,807.29 is: 149,710.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,350.38 : 623,025.51 = 99,807.29 : x
  2. Step 2: Convert to fraction form
    415,350.38/623,025.51 = 99,807.29/x
  3. Step 3: Cross multiply
    415,350.38x = 623,025.51 × 99,807.29
  4. Step 4: Simplify right side
    415,350.38x = 62,182,488,165.52
  5. Step 5: Solve for x
    x = 62,182,488,165.52/415,350.38
  6. Step 6: Final answer
    x = 149,710.92

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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.