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Finding the Fourth Proportional to 299,371.25, 413,132.27 and 204,044.45

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Solution

The fourth proportional to 299,371.25, 413,132.27 and 204,044.45 is: 281,581.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,371.25 : 413,132.27 = 204,044.45 : x
  2. Step 2: Convert to fraction form
    299,371.25/413,132.27 = 204,044.45/x
  3. Step 3: Cross multiply
    299,371.25x = 413,132.27 × 204,044.45
  4. Step 4: Simplify right side
    299,371.25x = 84,297,343,723.52
  5. Step 5: Solve for x
    x = 84,297,343,723.52/299,371.25
  6. Step 6: Final answer
    x = 281,581.29

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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.