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Finding the Fourth Proportional to 331,857.44, 497,785.22 and 82,539.44

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Solution

The fourth proportional to 331,857.44, 497,785.22 and 82,539.44 is: 123,808.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,857.44 : 497,785.22 = 82,539.44 : x
  2. Step 2: Convert to fraction form
    331,857.44/497,785.22 = 82,539.44/x
  3. Step 3: Cross multiply
    331,857.44x = 497,785.22 × 82,539.44
  4. Step 4: Simplify right side
    331,857.44x = 41,086,912,886.38
  5. Step 5: Solve for x
    x = 41,086,912,886.38/331,857.44
  6. Step 6: Final answer
    x = 123,808.92

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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.