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Finding the Fourth Proportional to 276,695.10, 415,042.65 and 271,446.30

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Solution

The fourth proportional to 276,695.10, 415,042.65 and 271,446.30 is: 407,169.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,695.10 : 415,042.65 = 271,446.30 : x
  2. Step 2: Convert to fraction form
    276,695.10/415,042.65 = 271,446.30/x
  3. Step 3: Cross multiply
    276,695.10x = 415,042.65 × 271,446.30
  4. Step 4: Simplify right side
    276,695.10x = 112,661,791,684.70
  5. Step 5: Solve for x
    x = 112,661,791,684.70/276,695.10
  6. Step 6: Final answer
    x = 407,169.45

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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.