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Finding the Fourth Proportional to 382,863.60, 574,295.40 and 133,545.60

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Solution

The fourth proportional to 382,863.60, 574,295.40 and 133,545.60 is: 200,318.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,863.60 : 574,295.40 = 133,545.60 : x
  2. Step 2: Convert to fraction form
    382,863.60/574,295.40 = 133,545.60/x
  3. Step 3: Cross multiply
    382,863.60x = 574,295.40 × 133,545.60
  4. Step 4: Simplify right side
    382,863.60x = 76,694,623,770.24
  5. Step 5: Solve for x
    x = 76,694,623,770.24/382,863.60
  6. Step 6: Final answer
    x = 200,318.40

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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.