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Finding the Fourth Proportional to 542,201.50, 813,525.56 and 238,439.50

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Solution

The fourth proportional to 542,201.50, 813,525.56 and 238,439.50 is: 357,757.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,201.50 : 813,525.56 = 238,439.50 : x
  2. Step 2: Convert to fraction form
    542,201.50/813,525.56 = 238,439.50/x
  3. Step 3: Cross multiply
    542,201.50x = 813,525.56 × 238,439.50
  4. Step 4: Simplify right side
    542,201.50x = 193,976,625,431.76
  5. Step 5: Solve for x
    x = 193,976,625,431.76/542,201.50
  6. Step 6: Final answer
    x = 357,757.45

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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.