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Finding the Fourth Proportional to 271,060.20, 406,979.10 and 204,964.20

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Solution

The fourth proportional to 271,060.20, 406,979.10 and 204,964.20 is: 307,740.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,060.20 : 406,979.10 = 204,964.20 : x
  2. Step 2: Convert to fraction form
    271,060.20/406,979.10 = 204,964.20/x
  3. Step 3: Cross multiply
    271,060.20x = 406,979.10 × 204,964.20
  4. Step 4: Simplify right side
    271,060.20x = 83,416,145,648.22
  5. Step 5: Solve for x
    x = 83,416,145,648.22/271,060.20
  6. Step 6: Final answer
    x = 307,740.29

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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.