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Finding the Fourth Proportional to 299,972.88, 413,535.24 and 204,357.24

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Solution

The fourth proportional to 299,972.88, 413,535.24 and 204,357.24 is: 281,721.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,972.88 : 413,535.24 = 204,357.24 : x
  2. Step 2: Convert to fraction form
    299,972.88/413,535.24 = 204,357.24/x
  3. Step 3: Cross multiply
    299,972.88x = 413,535.24 × 204,357.24
  4. Step 4: Simplify right side
    299,972.88x = 84,508,920,289.14
  5. Step 5: Solve for x
    x = 84,508,920,289.14/299,972.88
  6. Step 6: Final answer
    x = 281,721.87

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