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Finding the Fourth Proportional to 322,732.30, 484,098.45 and 271,410.70

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Solution

The fourth proportional to 322,732.30, 484,098.45 and 271,410.70 is: 407,116.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,732.30 : 484,098.45 = 271,410.70 : x
  2. Step 2: Convert to fraction form
    322,732.30/484,098.45 = 271,410.70/x
  3. Step 3: Cross multiply
    322,732.30x = 484,098.45 × 271,410.70
  4. Step 4: Simplify right side
    322,732.30x = 131,389,499,183.42
  5. Step 5: Solve for x
    x = 131,389,499,183.42/322,732.30
  6. Step 6: Final answer
    x = 407,116.05

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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.