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Finding the Fourth Proportional to 545,781.60, 818,672.40 and 411,937.20

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Solution

The fourth proportional to 545,781.60, 818,672.40 and 411,937.20 is: 617,905.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,781.60 : 818,672.40 = 411,937.20 : x
  2. Step 2: Convert to fraction form
    545,781.60/818,672.40 = 411,937.20/x
  3. Step 3: Cross multiply
    545,781.60x = 818,672.40 × 411,937.20
  4. Step 4: Simplify right side
    545,781.60x = 337,241,616,173.28
  5. Step 5: Solve for x
    x = 337,241,616,173.28/545,781.60
  6. Step 6: Final answer
    x = 617,905.80

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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.