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Finding the Fourth Proportional to 299,359.28, 413,115.81 and 204,032.51

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Solution

The fourth proportional to 299,359.28, 413,115.81 and 204,032.51 is: 281,564.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,359.28 : 413,115.81 = 204,032.51 : x
  2. Step 2: Convert to fraction form
    299,359.28/413,115.81 = 204,032.51/x
  3. Step 3: Cross multiply
    299,359.28x = 413,115.81 × 204,032.51
  4. Step 4: Simplify right side
    299,359.28x = 84,289,055,634.98
  5. Step 5: Solve for x
    x = 84,289,055,634.98/299,359.28
  6. Step 6: Final answer
    x = 281,564.87

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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.