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Finding the Fourth Proportional to 527,156.73, 791,177.96 and 227,865.78

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Solution

The fourth proportional to 527,156.73, 791,177.96 and 227,865.78 is: 341,990.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,156.73 : 791,177.96 = 227,865.78 : x
  2. Step 2: Convert to fraction form
    527,156.73/791,177.96 = 227,865.78/x
  3. Step 3: Cross multiply
    527,156.73x = 791,177.96 × 227,865.78
  4. Step 4: Simplify right side
    527,156.73x = 180,282,383,543.87
  5. Step 5: Solve for x
    x = 180,282,383,543.87/527,156.73
  6. Step 6: Final answer
    x = 341,990.10

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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.