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Finding the Fourth Proportional to 361,057.28, 497,806.79 and 231,767.64

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Solution

The fourth proportional to 361,057.28, 497,806.79 and 231,767.64 is: 319,549.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,057.28 : 497,806.79 = 231,767.64 : x
  2. Step 2: Convert to fraction form
    361,057.28/497,806.79 = 231,767.64/x
  3. Step 3: Cross multiply
    361,057.28x = 497,806.79 × 231,767.64
  4. Step 4: Simplify right side
    361,057.28x = 115,375,503,735.44
  5. Step 5: Solve for x
    x = 115,375,503,735.44/361,057.28
  6. Step 6: Final answer
    x = 319,549.03

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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.