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Finding the Fourth Proportional to 337,394.28, 465,604.56 and 194,151.48

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Solution

The fourth proportional to 337,394.28, 465,604.56 and 194,151.48 is: 267,929.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,394.28 : 465,604.56 = 194,151.48 : x
  2. Step 2: Convert to fraction form
    337,394.28/465,604.56 = 194,151.48/x
  3. Step 3: Cross multiply
    337,394.28x = 465,604.56 × 194,151.48
  4. Step 4: Simplify right side
    337,394.28x = 90,397,814,418.75
  5. Step 5: Solve for x
    x = 90,397,814,418.75/337,394.28
  6. Step 6: Final answer
    x = 267,929.30

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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.