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Finding the Fourth Proportional to 542,662.56, 813,534.24 and 205,517.28

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Solution

The fourth proportional to 542,662.56, 813,534.24 and 205,517.28 is: 308,101.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,662.56 : 813,534.24 = 205,517.28 : x
  2. Step 2: Convert to fraction form
    542,662.56/813,534.24 = 205,517.28/x
  3. Step 3: Cross multiply
    542,662.56x = 813,534.24 × 205,517.28
  4. Step 4: Simplify right side
    542,662.56x = 167,195,344,191.67
  5. Step 5: Solve for x
    x = 167,195,344,191.67/542,662.56
  6. Step 6: Final answer
    x = 308,101.86

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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.