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Finding the Fourth Proportional to 311,793.90, 467,828.55 and 151,781.10

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Solution

The fourth proportional to 311,793.90, 467,828.55 and 151,781.10 is: 227,738.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,793.90 : 467,828.55 = 151,781.10 : x
  2. Step 2: Convert to fraction form
    311,793.90/467,828.55 = 151,781.10/x
  3. Step 3: Cross multiply
    311,793.90x = 467,828.55 × 151,781.10
  4. Step 4: Simplify right side
    311,793.90x = 71,007,531,930.41
  5. Step 5: Solve for x
    x = 71,007,531,930.41/311,793.90
  6. Step 6: Final answer
    x = 227,738.68

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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.