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Finding the Fourth Proportional to 397,589.12, 595,949.90 and 195,324.42

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Solution

The fourth proportional to 397,589.12, 595,949.90 and 195,324.42 is: 292,773.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,589.12 : 595,949.90 = 195,324.42 : x
  2. Step 2: Convert to fraction form
    397,589.12/595,949.90 = 195,324.42/x
  3. Step 3: Cross multiply
    397,589.12x = 595,949.90 × 195,324.42
  4. Step 4: Simplify right side
    397,589.12x = 116,403,568,566.56
  5. Step 5: Solve for x
    x = 116,403,568,566.56/397,589.12
  6. Step 6: Final answer
    x = 292,773.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.