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Finding the Fourth Proportional to 451,731.82, 676,694.27 and 271,717.82

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Solution

The fourth proportional to 451,731.82, 676,694.27 and 271,717.82 is: 407,033.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,731.82 : 676,694.27 = 271,717.82 : x
  2. Step 2: Convert to fraction form
    451,731.82/676,694.27 = 271,717.82/x
  3. Step 3: Cross multiply
    451,731.82x = 676,694.27 × 271,717.82
  4. Step 4: Simplify right side
    451,731.82x = 183,869,893,542.63
  5. Step 5: Solve for x
    x = 183,869,893,542.63/451,731.82
  6. Step 6: Final answer
    x = 407,033.30

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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.