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Finding the Fourth Proportional to 451,724.82, 676,683.82 and 271,710.85

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Solution

The fourth proportional to 451,724.82, 676,683.82 and 271,710.85 is: 407,022.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,724.82 : 676,683.82 = 271,710.85 : x
  2. Step 2: Convert to fraction form
    451,724.82/676,683.82 = 271,710.85/x
  3. Step 3: Cross multiply
    451,724.82x = 676,683.82 × 271,710.85
  4. Step 4: Simplify right side
    451,724.82x = 183,862,335,913.45
  5. Step 5: Solve for x
    x = 183,862,335,913.45/451,724.82
  6. Step 6: Final answer
    x = 407,022.88

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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.