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Finding the Fourth Proportional to 547,793.80, 821,778.18 and 187,923.76

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Solution

The fourth proportional to 547,793.80, 821,778.18 and 187,923.76 is: 281,915.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,793.80 : 821,778.18 = 187,923.76 : x
  2. Step 2: Convert to fraction form
    547,793.80/821,778.18 = 187,923.76/x
  3. Step 3: Cross multiply
    547,793.80x = 821,778.18 × 187,923.76
  4. Step 4: Simplify right side
    547,793.80x = 154,431,645,471.56
  5. Step 5: Solve for x
    x = 154,431,645,471.56/547,793.80
  6. Step 6: Final answer
    x = 281,915.65

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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.