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Finding the Fourth Proportional to 463,101.22, 694,375.01 and 178,555.76

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Solution

The fourth proportional to 463,101.22, 694,375.01 and 178,555.76 is: 267,726.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,101.22 : 694,375.01 = 178,555.76 : x
  2. Step 2: Convert to fraction form
    463,101.22/694,375.01 = 178,555.76/x
  3. Step 3: Cross multiply
    463,101.22x = 694,375.01 × 178,555.76
  4. Step 4: Simplify right side
    463,101.22x = 123,984,657,635.56
  5. Step 5: Solve for x
    x = 123,984,657,635.56/463,101.22
  6. Step 6: Final answer
    x = 267,726.91

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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.