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Finding the Fourth Proportional to 299,379.28, 413,143.30 and 204,052.44

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Solution

The fourth proportional to 299,379.28, 413,143.30 and 204,052.44 is: 281,592.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,379.28 : 413,143.30 = 204,052.44 : x
  2. Step 2: Convert to fraction form
    299,379.28/413,143.30 = 204,052.44/x
  3. Step 3: Cross multiply
    299,379.28x = 413,143.30 × 204,052.44
  4. Step 4: Simplify right side
    299,379.28x = 84,302,898,434.65
  5. Step 5: Solve for x
    x = 84,302,898,434.65/299,379.28
  6. Step 6: Final answer
    x = 281,592.29

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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.