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Finding the Fourth Proportional to 411,897.60, 617,846.40 and 253,612.80

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Solution

The fourth proportional to 411,897.60, 617,846.40 and 253,612.80 is: 380,419.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,897.60 : 617,846.40 = 253,612.80 : x
  2. Step 2: Convert to fraction form
    411,897.60/617,846.40 = 253,612.80/x
  3. Step 3: Cross multiply
    411,897.60x = 617,846.40 × 253,612.80
  4. Step 4: Simplify right side
    411,897.60x = 156,693,755,473.92
  5. Step 5: Solve for x
    x = 156,693,755,473.92/411,897.60
  6. Step 6: Final answer
    x = 380,419.20

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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.