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Finding the Fourth Proportional to 271,001.77, 406,356.04 and 215,200.87

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Solution

The fourth proportional to 271,001.77, 406,356.04 and 215,200.87 is: 322,684.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,001.77 : 406,356.04 = 215,200.87 : x
  2. Step 2: Convert to fraction form
    271,001.77/406,356.04 = 215,200.87/x
  3. Step 3: Cross multiply
    271,001.77x = 406,356.04 × 215,200.87
  4. Step 4: Simplify right side
    271,001.77x = 87,448,173,337.75
  5. Step 5: Solve for x
    x = 87,448,173,337.75/271,001.77
  6. Step 6: Final answer
    x = 322,684.88

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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.