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Finding the Fourth Proportional to 542,640.67, 813,992.76 and 182,781.43

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Solution

The fourth proportional to 542,640.67, 813,992.76 and 182,781.43 is: 274,182.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,640.67 : 813,992.76 = 182,781.43 : x
  2. Step 2: Convert to fraction form
    542,640.67/813,992.76 = 182,781.43/x
  3. Step 3: Cross multiply
    542,640.67x = 813,992.76 × 182,781.43
  4. Step 4: Simplify right side
    542,640.67x = 148,782,758,647.47
  5. Step 5: Solve for x
    x = 148,782,758,647.47/542,640.67
  6. Step 6: Final answer
    x = 274,182.84

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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.