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Finding the Fourth Proportional to 475,213.50, 655,633.17 and 271,117.80

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Solution

The fourth proportional to 475,213.50, 655,633.17 and 271,117.80 is: 374,050.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,213.50 : 655,633.17 = 271,117.80 : x
  2. Step 2: Convert to fraction form
    475,213.50/655,633.17 = 271,117.80/x
  3. Step 3: Cross multiply
    475,213.50x = 655,633.17 × 271,117.80
  4. Step 4: Simplify right side
    475,213.50x = 177,753,822,657.43
  5. Step 5: Solve for x
    x = 177,753,822,657.43/475,213.50
  6. Step 6: Final answer
    x = 374,050.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.