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Finding the Fourth Proportional to 322,082.31, 444,514.60 and 194,758.82

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Solution

The fourth proportional to 322,082.31, 444,514.60 and 194,758.82 is: 268,791.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,082.31 : 444,514.60 = 194,758.82 : x
  2. Step 2: Convert to fraction form
    322,082.31/444,514.60 = 194,758.82/x
  3. Step 3: Cross multiply
    322,082.31x = 444,514.60 × 194,758.82
  4. Step 4: Simplify right side
    322,082.31x = 86,573,138,968.77
  5. Step 5: Solve for x
    x = 86,573,138,968.77/322,082.31
  6. Step 6: Final answer
    x = 268,791.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.