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Finding the Fourth Proportional to 687,027.14, 948,103.14 and 381,123.62

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Solution

The fourth proportional to 687,027.14, 948,103.14 and 381,123.62 is: 525,953.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,027.14 : 948,103.14 = 381,123.62 : x
  2. Step 2: Convert to fraction form
    687,027.14/948,103.14 = 381,123.62/x
  3. Step 3: Cross multiply
    687,027.14x = 948,103.14 × 381,123.62
  4. Step 4: Simplify right side
    687,027.14x = 361,344,500,850.17
  5. Step 5: Solve for x
    x = 361,344,500,850.17/687,027.14
  6. Step 6: Final answer
    x = 525,953.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.