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Finding the Fourth Proportional to 326,540.97, 450,839.12 and 199,290.38

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Solution

The fourth proportional to 326,540.97, 450,839.12 and 199,290.38 is: 275,150.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,540.97 : 450,839.12 = 199,290.38 : x
  2. Step 2: Convert to fraction form
    326,540.97/450,839.12 = 199,290.38/x
  3. Step 3: Cross multiply
    326,540.97x = 450,839.12 × 199,290.38
  4. Step 4: Simplify right side
    326,540.97x = 89,847,896,293.02
  5. Step 5: Solve for x
    x = 89,847,896,293.02/326,540.97
  6. Step 6: Final answer
    x = 275,150.45

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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.