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Finding the Fourth Proportional to 271,144.68, 406,144.84 and 217,546.47

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Solution

The fourth proportional to 271,144.68, 406,144.84 and 217,546.47 is: 325,860.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,144.68 : 406,144.84 = 217,546.47 : x
  2. Step 2: Convert to fraction form
    271,144.68/406,144.84 = 217,546.47/x
  3. Step 3: Cross multiply
    271,144.68x = 406,144.84 × 217,546.47
  4. Step 4: Simplify right side
    271,144.68x = 88,355,376,114.75
  5. Step 5: Solve for x
    x = 88,355,376,114.75/271,144.68
  6. Step 6: Final answer
    x = 325,860.63

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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.