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Finding the Fourth Proportional to 337,065.84, 465,142.50 and 193,822.47

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Solution

The fourth proportional to 337,065.84, 465,142.50 and 193,822.47 is: 267,470.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,065.84 : 465,142.50 = 193,822.47 : x
  2. Step 2: Convert to fraction form
    337,065.84/465,142.50 = 193,822.47/x
  3. Step 3: Cross multiply
    337,065.84x = 465,142.50 × 193,822.47
  4. Step 4: Simplify right side
    337,065.84x = 90,155,068,251.98
  5. Step 5: Solve for x
    x = 90,155,068,251.98/337,065.84
  6. Step 6: Final answer
    x = 267,470.20

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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.