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Finding the Fourth Proportional to 412,241.14, 617,311.92 and 271,573.30

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Solution

The fourth proportional to 412,241.14, 617,311.92 and 271,573.30 is: 406,668.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,241.14 : 617,311.92 = 271,573.30 : x
  2. Step 2: Convert to fraction form
    412,241.14/617,311.92 = 271,573.30/x
  3. Step 3: Cross multiply
    412,241.14x = 617,311.92 × 271,573.30
  4. Step 4: Simplify right side
    412,241.14x = 167,645,434,718.86
  5. Step 5: Solve for x
    x = 167,645,434,718.86/412,241.14
  6. Step 6: Final answer
    x = 406,668.38

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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.