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Finding the Fourth Proportional to 542,211.58, 813,540.42 and 238,449.40

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Solution

The fourth proportional to 542,211.58, 813,540.42 and 238,449.40 is: 357,772.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,211.58 : 813,540.42 = 238,449.40 : x
  2. Step 2: Convert to fraction form
    542,211.58/813,540.42 = 238,449.40/x
  3. Step 3: Cross multiply
    542,211.58x = 813,540.42 × 238,449.40
  4. Step 4: Simplify right side
    542,211.58x = 193,988,225,024.75
  5. Step 5: Solve for x
    x = 193,988,225,024.75/542,211.58
  6. Step 6: Final answer
    x = 357,772.19

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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.