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Finding the Fourth Proportional to 267,714.80, 401,572.20 and 204,729.20

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Solution

The fourth proportional to 267,714.80, 401,572.20 and 204,729.20 is: 307,093.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,714.80 : 401,572.20 = 204,729.20 : x
  2. Step 2: Convert to fraction form
    267,714.80/401,572.20 = 204,729.20/x
  3. Step 3: Cross multiply
    267,714.80x = 401,572.20 × 204,729.20
  4. Step 4: Simplify right side
    267,714.80x = 82,213,555,248.24
  5. Step 5: Solve for x
    x = 82,213,555,248.24/267,714.80
  6. Step 6: Final answer
    x = 307,093.80

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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.