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Finding the Fourth Proportional to 337,423.80, 465,630.66 and 194,188.80

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Solution

The fourth proportional to 337,423.80, 465,630.66 and 194,188.80 is: 267,972.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,423.80 : 465,630.66 = 194,188.80 : x
  2. Step 2: Convert to fraction form
    337,423.80/465,630.66 = 194,188.80/x
  3. Step 3: Cross multiply
    337,423.80x = 465,630.66 × 194,188.80
  4. Step 4: Simplify right side
    337,423.80x = 90,420,259,108.61
  5. Step 5: Solve for x
    x = 90,420,259,108.61/337,423.80
  6. Step 6: Final answer
    x = 267,972.38

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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.