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Finding the Fourth Proportional to 687,045.70, 948,128.75 and 381,142.14

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Solution

The fourth proportional to 687,045.70, 948,128.75 and 381,142.14 is: 525,979.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,045.70 : 948,128.75 = 381,142.14 : x
  2. Step 2: Convert to fraction form
    687,045.70/948,128.75 = 381,142.14/x
  3. Step 3: Cross multiply
    687,045.70x = 948,128.75 × 381,142.14
  4. Step 4: Simplify right side
    687,045.70x = 361,371,820,770.53
  5. Step 5: Solve for x
    x = 361,371,820,770.53/687,045.70
  6. Step 6: Final answer
    x = 525,979.31

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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.