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Finding the Fourth Proportional to 337,650.53, 465,997.91 and 194,438.48

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Solution

The fourth proportional to 337,650.53, 465,997.91 and 194,438.48 is: 268,348.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,650.53 : 465,997.91 = 194,438.48 : x
  2. Step 2: Convert to fraction form
    337,650.53/465,997.91 = 194,438.48/x
  3. Step 3: Cross multiply
    337,650.53x = 465,997.91 × 194,438.48
  4. Step 4: Simplify right side
    337,650.53x = 90,607,923,095.11
  5. Step 5: Solve for x
    x = 90,607,923,095.11/337,650.53
  6. Step 6: Final answer
    x = 268,348.24

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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.