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Finding the Fourth Proportional to 299,359.97, 413,116.76 and 204,033.20

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Solution

The fourth proportional to 299,359.97, 413,116.76 and 204,033.20 is: 281,565.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,359.97 : 413,116.76 = 204,033.20 : x
  2. Step 2: Convert to fraction form
    299,359.97/413,116.76 = 204,033.20/x
  3. Step 3: Cross multiply
    299,359.97x = 413,116.76 × 204,033.20
  4. Step 4: Simplify right side
    299,359.97x = 84,289,532,960.93
  5. Step 5: Solve for x
    x = 84,289,532,960.93/299,359.97
  6. Step 6: Final answer
    x = 281,565.81

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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.