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Finding the Fourth Proportional to 299,375.28, 413,137.78 and 204,048.44

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Solution

The fourth proportional to 299,375.28, 413,137.78 and 204,048.44 is: 281,586.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,375.28 : 413,137.78 = 204,048.44 : x
  2. Step 2: Convert to fraction form
    299,375.28/413,137.78 = 204,048.44/x
  3. Step 3: Cross multiply
    299,375.28x = 413,137.78 × 204,048.44
  4. Step 4: Simplify right side
    299,375.28x = 84,300,119,514.06
  5. Step 5: Solve for x
    x = 84,300,119,514.06/299,375.28
  6. Step 6: Final answer
    x = 281,586.77

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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.