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Finding the Fourth Proportional to 337,465.43, 465,819.57 and 194,282.54

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Solution

The fourth proportional to 337,465.43, 465,819.57 and 194,282.54 is: 268,177.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,465.43 : 465,819.57 = 194,282.54 : x
  2. Step 2: Convert to fraction form
    337,465.43/465,819.57 = 194,282.54/x
  3. Step 3: Cross multiply
    337,465.43x = 465,819.57 × 194,282.54
  4. Step 4: Simplify right side
    337,465.43x = 90,500,605,940.80
  5. Step 5: Solve for x
    x = 90,500,605,940.80/337,465.43
  6. Step 6: Final answer
    x = 268,177.42

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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.