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Finding the Fourth Proportional to 542,644.80, 814,084.14 and 182,851.71

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Solution

The fourth proportional to 542,644.80, 814,084.14 and 182,851.71 is: 274,316.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,644.80 : 814,084.14 = 182,851.71 : x
  2. Step 2: Convert to fraction form
    542,644.80/814,084.14 = 182,851.71/x
  3. Step 3: Cross multiply
    542,644.80x = 814,084.14 × 182,851.71
  4. Step 4: Simplify right side
    542,644.80x = 148,856,677,082.88
  5. Step 5: Solve for x
    x = 148,856,677,082.88/542,644.80
  6. Step 6: Final answer
    x = 274,316.97

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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.