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Finding the Fourth Proportional to 411,489.60, 617,234.40 and 253,204.80

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Solution

The fourth proportional to 411,489.60, 617,234.40 and 253,204.80 is: 379,807.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,489.60 : 617,234.40 = 253,204.80 : x
  2. Step 2: Convert to fraction form
    411,489.60/617,234.40 = 253,204.80/x
  3. Step 3: Cross multiply
    411,489.60x = 617,234.40 × 253,204.80
  4. Step 4: Simplify right side
    411,489.60x = 156,286,712,805.12
  5. Step 5: Solve for x
    x = 156,286,712,805.12/411,489.60
  6. Step 6: Final answer
    x = 379,807.20

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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.