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Finding the Fourth Proportional to 381,801.60, 572,702.40 and 204,217.20

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Solution

The fourth proportional to 381,801.60, 572,702.40 and 204,217.20 is: 306,325.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,801.60 : 572,702.40 = 204,217.20 : x
  2. Step 2: Convert to fraction form
    381,801.60/572,702.40 = 204,217.20/x
  3. Step 3: Cross multiply
    381,801.60x = 572,702.40 × 204,217.20
  4. Step 4: Simplify right side
    381,801.60x = 116,955,680,561.28
  5. Step 5: Solve for x
    x = 116,955,680,561.28/381,801.60
  6. Step 6: Final answer
    x = 306,325.80

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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.