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Finding the Fourth Proportional to 494,456.40, 741,538.80 and 194,837.40

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Solution

The fourth proportional to 494,456.40, 741,538.80 and 194,837.40 is: 292,198.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,456.40 : 741,538.80 = 194,837.40 : x
  2. Step 2: Convert to fraction form
    494,456.40/741,538.80 = 194,837.40/x
  3. Step 3: Cross multiply
    494,456.40x = 741,538.80 × 194,837.40
  4. Step 4: Simplify right side
    494,456.40x = 144,479,491,791.12
  5. Step 5: Solve for x
    x = 144,479,491,791.12/494,456.40
  6. Step 6: Final answer
    x = 292,198.65

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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.