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Finding the Fourth Proportional to 542,982.96, 814,591.50 and 163,872

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Solution

The fourth proportional to 542,982.96, 814,591.50 and 163,872 is: 245,843.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,982.96 : 814,591.50 = 163,872 : x
  2. Step 2: Convert to fraction form
    542,982.96/814,591.50 = 163,872/x
  3. Step 3: Cross multiply
    542,982.96x = 814,591.50 × 163,872
  4. Step 4: Simplify right side
    542,982.96x = 133,488,738,288
  5. Step 5: Solve for x
    x = 133,488,738,288/542,982.96
  6. Step 6: Final answer
    x = 245,843.33

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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.