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Finding the Fourth Proportional to 299,373.28, 413,135.02 and 204,046.45

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Solution

The fourth proportional to 299,373.28, 413,135.02 and 204,046.45 is: 281,584.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,373.28 : 413,135.02 = 204,046.45 : x
  2. Step 2: Convert to fraction form
    299,373.28/413,135.02 = 204,046.45/x
  3. Step 3: Cross multiply
    299,373.28x = 413,135.02 × 204,046.45
  4. Step 4: Simplify right side
    299,373.28x = 84,298,734,201.68
  5. Step 5: Solve for x
    x = 84,298,734,201.68/299,373.28
  6. Step 6: Final answer
    x = 281,584.03

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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.