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Finding the Fourth Proportional to 541,761.72, 748,000.62 and 337,892.28

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Solution

The fourth proportional to 541,761.72, 748,000.62 and 337,892.28 is: 466,521.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,761.72 : 748,000.62 = 337,892.28 : x
  2. Step 2: Convert to fraction form
    541,761.72/748,000.62 = 337,892.28/x
  3. Step 3: Cross multiply
    541,761.72x = 748,000.62 × 337,892.28
  4. Step 4: Simplify right side
    541,761.72x = 252,743,634,933.21
  5. Step 5: Solve for x
    x = 252,743,634,933.21/541,761.72
  6. Step 6: Final answer
    x = 466,521.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.