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Finding the Fourth Proportional to 542,542.56, 748,705.05 and 300,825.24

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Solution

The fourth proportional to 542,542.56, 748,705.05 and 300,825.24 is: 415,136.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,542.56 : 748,705.05 = 300,825.24 : x
  2. Step 2: Convert to fraction form
    542,542.56/748,705.05 = 300,825.24/x
  3. Step 3: Cross multiply
    542,542.56x = 748,705.05 × 300,825.24
  4. Step 4: Simplify right side
    542,542.56x = 225,229,376,355.46
  5. Step 5: Solve for x
    x = 225,229,376,355.46/542,542.56
  6. Step 6: Final answer
    x = 415,136.79

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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.