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Finding the Fourth Proportional to 382,717.32, 574,052.94 and 169,422.78

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Solution

The fourth proportional to 382,717.32, 574,052.94 and 169,422.78 is: 254,123.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,717.32 : 574,052.94 = 169,422.78 : x
  2. Step 2: Convert to fraction form
    382,717.32/574,052.94 = 169,422.78/x
  3. Step 3: Cross multiply
    382,717.32x = 574,052.94 × 169,422.78
  4. Step 4: Simplify right side
    382,717.32x = 97,257,644,961.97
  5. Step 5: Solve for x
    x = 97,257,644,961.97/382,717.32
  6. Step 6: Final answer
    x = 254,123.97

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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.