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Finding the Fourth Proportional to 299,662.01, 413,546.15 and 172,337.71

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Solution

The fourth proportional to 299,662.01, 413,546.15 and 172,337.71 is: 237,833.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,662.01 : 413,546.15 = 172,337.71 : x
  2. Step 2: Convert to fraction form
    299,662.01/413,546.15 = 172,337.71/x
  3. Step 3: Cross multiply
    299,662.01x = 413,546.15 × 172,337.71
  4. Step 4: Simplify right side
    299,662.01x = 71,269,593,540.90
  5. Step 5: Solve for x
    x = 71,269,593,540.90/299,662.01
  6. Step 6: Final answer
    x = 237,833.26

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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.