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Finding the Fourth Proportional to 462,656.28, 638,470.62 and 271,671.96

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Solution

The fourth proportional to 462,656.28, 638,470.62 and 271,671.96 is: 374,910.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,656.28 : 638,470.62 = 271,671.96 : x
  2. Step 2: Convert to fraction form
    462,656.28/638,470.62 = 271,671.96/x
  3. Step 3: Cross multiply
    462,656.28x = 638,470.62 × 271,671.96
  4. Step 4: Simplify right side
    462,656.28x = 173,454,564,737.82
  5. Step 5: Solve for x
    x = 173,454,564,737.82/462,656.28
  6. Step 6: Final answer
    x = 374,910.21

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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.