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Finding the Fourth Proportional to 381,712.70, 572,569.05 and 132,394.70

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Solution

The fourth proportional to 381,712.70, 572,569.05 and 132,394.70 is: 198,592.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,712.70 : 572,569.05 = 132,394.70 : x
  2. Step 2: Convert to fraction form
    381,712.70/572,569.05 = 132,394.70/x
  3. Step 3: Cross multiply
    381,712.70x = 572,569.05 × 132,394.70
  4. Step 4: Simplify right side
    381,712.70x = 75,805,107,604.04
  5. Step 5: Solve for x
    x = 75,805,107,604.04/381,712.70
  6. Step 6: Final answer
    x = 198,592.05

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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.