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Finding the Fourth Proportional to 337,523.68, 465,768.72 and 194,288.80

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Solution

The fourth proportional to 337,523.68, 465,768.72 and 194,288.80 is: 268,110.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,523.68 : 465,768.72 = 194,288.80 : x
  2. Step 2: Convert to fraction form
    337,523.68/465,768.72 = 194,288.80/x
  3. Step 3: Cross multiply
    337,523.68x = 465,768.72 × 194,288.80
  4. Step 4: Simplify right side
    337,523.68x = 90,493,645,686.34
  5. Step 5: Solve for x
    x = 90,493,645,686.34/337,523.68
  6. Step 6: Final answer
    x = 268,110.51

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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.