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Finding the Fourth Proportional to 411,909.60, 617,864.40 and 253,624.80

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Solution

The fourth proportional to 411,909.60, 617,864.40 and 253,624.80 is: 380,437.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,909.60 : 617,864.40 = 253,624.80 : x
  2. Step 2: Convert to fraction form
    411,909.60/617,864.40 = 253,624.80/x
  3. Step 3: Cross multiply
    411,909.60x = 617,864.40 × 253,624.80
  4. Step 4: Simplify right side
    411,909.60x = 156,705,734,877.12
  5. Step 5: Solve for x
    x = 156,705,734,877.12/411,909.60
  6. Step 6: Final answer
    x = 380,437.20

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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.