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Finding the Fourth Proportional to 462,546.28, 638,318.82 and 271,561.96

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Solution

The fourth proportional to 462,546.28, 638,318.82 and 271,561.96 is: 374,758.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,546.28 : 638,318.82 = 271,561.96 : x
  2. Step 2: Convert to fraction form
    462,546.28/638,318.82 = 271,561.96/x
  3. Step 3: Cross multiply
    462,546.28x = 638,318.82 × 271,561.96
  4. Step 4: Simplify right side
    462,546.28x = 173,343,109,864.09
  5. Step 5: Solve for x
    x = 173,343,109,864.09/462,546.28
  6. Step 6: Final answer
    x = 374,758.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.