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Finding the Fourth Proportional to 337,906.72, 466,261.11 and 205,230.48

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Solution

The fourth proportional to 337,906.72, 466,261.11 and 205,230.48 is: 283,187.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,906.72 : 466,261.11 = 205,230.48 : x
  2. Step 2: Convert to fraction form
    337,906.72/466,261.11 = 205,230.48/x
  3. Step 3: Cross multiply
    337,906.72x = 466,261.11 × 205,230.48
  4. Step 4: Simplify right side
    337,906.72x = 95,690,992,389.50
  5. Step 5: Solve for x
    x = 95,690,992,389.50/337,906.72
  6. Step 6: Final answer
    x = 283,187.60

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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.