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Finding the Fourth Proportional to 542,286.15, 813,425.13 and 163,205.25

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Solution

The fourth proportional to 542,286.15, 813,425.13 and 163,205.25 is: 244,806.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,286.15 : 813,425.13 = 163,205.25 : x
  2. Step 2: Convert to fraction form
    542,286.15/813,425.13 = 163,205.25/x
  3. Step 3: Cross multiply
    542,286.15x = 813,425.13 × 163,205.25
  4. Step 4: Simplify right side
    542,286.15x = 132,755,251,697.93
  5. Step 5: Solve for x
    x = 132,755,251,697.93/542,286.15
  6. Step 6: Final answer
    x = 244,806.64

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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.