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Finding the Fourth Proportional to 382,909.12, 574,626.16 and 133,591.12

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Solution

The fourth proportional to 382,909.12, 574,626.16 and 133,591.12 is: 200,478.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,909.12 : 574,626.16 = 133,591.12 : x
  2. Step 2: Convert to fraction form
    382,909.12/574,626.16 = 133,591.12/x
  3. Step 3: Cross multiply
    382,909.12x = 574,626.16 × 133,591.12
  4. Step 4: Simplify right side
    382,909.12x = 76,764,952,295.70
  5. Step 5: Solve for x
    x = 76,764,952,295.70/382,909.12
  6. Step 6: Final answer
    x = 200,478.26

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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.