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Finding the Fourth Proportional to 522,778.71, 784,270.17 and 167,765.43

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Solution

The fourth proportional to 522,778.71, 784,270.17 and 167,765.43 is: 251,680.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,778.71 : 784,270.17 = 167,765.43 : x
  2. Step 2: Convert to fraction form
    522,778.71/784,270.17 = 167,765.43/x
  3. Step 3: Cross multiply
    522,778.71x = 784,270.17 × 167,765.43
  4. Step 4: Simplify right side
    522,778.71x = 131,573,422,306.22
  5. Step 5: Solve for x
    x = 131,573,422,306.22/522,778.71
  6. Step 6: Final answer
    x = 251,680.91

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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.