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Finding the Fourth Proportional to 542,216.52, 813,548.04 and 238,454.52

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Solution

The fourth proportional to 542,216.52, 813,548.04 and 238,454.52 is: 357,779.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,216.52 : 813,548.04 = 238,454.52 : x
  2. Step 2: Convert to fraction form
    542,216.52/813,548.04 = 238,454.52/x
  3. Step 3: Cross multiply
    542,216.52x = 813,548.04 × 238,454.52
  4. Step 4: Simplify right side
    542,216.52x = 193,994,207,375.14
  5. Step 5: Solve for x
    x = 193,994,207,375.14/542,216.52
  6. Step 6: Final answer
    x = 357,779.96

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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.