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Finding the Fourth Proportional to 542,104.68, 748,115.29 and 315,764.76

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Solution

The fourth proportional to 542,104.68, 748,115.29 and 315,764.76 is: 435,761.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,104.68 : 748,115.29 = 315,764.76 : x
  2. Step 2: Convert to fraction form
    542,104.68/748,115.29 = 315,764.76/x
  3. Step 3: Cross multiply
    542,104.68x = 748,115.29 × 315,764.76
  4. Step 4: Simplify right side
    542,104.68x = 236,228,444,999.18
  5. Step 5: Solve for x
    x = 236,228,444,999.18/542,104.68
  6. Step 6: Final answer
    x = 435,761.68

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