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Finding the Fourth Proportional to 381,702.70, 572,554.05 and 132,384.70

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Solution

The fourth proportional to 381,702.70, 572,554.05 and 132,384.70 is: 198,577.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,702.70 : 572,554.05 = 132,384.70 : x
  2. Step 2: Convert to fraction form
    381,702.70/572,554.05 = 132,384.70/x
  3. Step 3: Cross multiply
    381,702.70x = 572,554.05 × 132,384.70
  4. Step 4: Simplify right side
    381,702.70x = 75,797,396,143.04
  5. Step 5: Solve for x
    x = 75,797,396,143.04/381,702.70
  6. Step 6: Final answer
    x = 198,577.05

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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.