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Finding the Fourth Proportional to 311,793.15, 467,827.43 and 151,780.35

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Solution

The fourth proportional to 311,793.15, 467,827.43 and 151,780.35 is: 227,737.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,793.15 : 467,827.43 = 151,780.35 : x
  2. Step 2: Convert to fraction form
    311,793.15/467,827.43 = 151,780.35/x
  3. Step 3: Cross multiply
    311,793.15x = 467,827.43 × 151,780.35
  4. Step 4: Simplify right side
    311,793.15x = 71,007,010,306.10
  5. Step 5: Solve for x
    x = 71,007,010,306.10/311,793.15
  6. Step 6: Final answer
    x = 227,737.56

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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.