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Finding the Fourth Proportional to 542,204.50, 813,530.06 and 238,442.50

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Solution

The fourth proportional to 542,204.50, 813,530.06 and 238,442.50 is: 357,761.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,204.50 : 813,530.06 = 238,442.50 : x
  2. Step 2: Convert to fraction form
    542,204.50/813,530.06 = 238,442.50/x
  3. Step 3: Cross multiply
    542,204.50x = 813,530.06 × 238,442.50
  4. Step 4: Simplify right side
    542,204.50x = 193,980,139,893.83
  5. Step 5: Solve for x
    x = 193,980,139,893.83/542,204.50
  6. Step 6: Final answer
    x = 357,761.95

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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.