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Finding the Fourth Proportional to 391,414.94, 587,355.69 and 142,116.38

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Solution

The fourth proportional to 391,414.94, 587,355.69 and 142,116.38 is: 213,259.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,414.94 : 587,355.69 = 142,116.38 : x
  2. Step 2: Convert to fraction form
    391,414.94/587,355.69 = 142,116.38/x
  3. Step 3: Cross multiply
    391,414.94x = 587,355.69 × 142,116.38
  4. Step 4: Simplify right side
    391,414.94x = 83,472,864,435.20
  5. Step 5: Solve for x
    x = 83,472,864,435.20/391,414.94
  6. Step 6: Final answer
    x = 213,259.27

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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.