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Finding the Fourth Proportional to 412,358.22, 617,487.30 and 271,690.38

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Solution

The fourth proportional to 412,358.22, 617,487.30 and 271,690.38 is: 406,843.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,358.22 : 617,487.30 = 271,690.38 : x
  2. Step 2: Convert to fraction form
    412,358.22/617,487.30 = 271,690.38/x
  3. Step 3: Cross multiply
    412,358.22x = 617,487.30 × 271,690.38
  4. Step 4: Simplify right side
    412,358.22x = 167,765,359,182.17
  5. Step 5: Solve for x
    x = 167,765,359,182.17/412,358.22
  6. Step 6: Final answer
    x = 406,843.74

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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.