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Finding the Fourth Proportional to 544,753.14, 816,524.37 and 411,200.34

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Solution

The fourth proportional to 544,753.14, 816,524.37 and 411,200.34 is: 616,343.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,753.14 : 816,524.37 = 411,200.34 : x
  2. Step 2: Convert to fraction form
    544,753.14/816,524.37 = 411,200.34/x
  3. Step 3: Cross multiply
    544,753.14x = 816,524.37 × 411,200.34
  4. Step 4: Simplify right side
    544,753.14x = 335,755,098,562.29
  5. Step 5: Solve for x
    x = 335,755,098,562.29/544,753.14
  6. Step 6: Final answer
    x = 616,343.58

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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.