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Finding the Fourth Proportional to 324,872.31, 448,204.82 and 195,839.31

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Solution

The fourth proportional to 324,872.31, 448,204.82 and 195,839.31 is: 270,186.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,872.31 : 448,204.82 = 195,839.31 : x
  2. Step 2: Convert to fraction form
    324,872.31/448,204.82 = 195,839.31/x
  3. Step 3: Cross multiply
    324,872.31x = 448,204.82 × 195,839.31
  4. Step 4: Simplify right side
    324,872.31x = 87,776,121,708.28
  5. Step 5: Solve for x
    x = 87,776,121,708.28/324,872.31
  6. Step 6: Final answer
    x = 270,186.53

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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.