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Finding the Fourth Proportional to 365,452.24, 504,321.78 and 204,306.52

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Solution

The fourth proportional to 365,452.24, 504,321.78 and 204,306.52 is: 281,941.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,452.24 : 504,321.78 = 204,306.52 : x
  2. Step 2: Convert to fraction form
    365,452.24/504,321.78 = 204,306.52/x
  3. Step 3: Cross multiply
    365,452.24x = 504,321.78 × 204,306.52
  4. Step 4: Simplify right side
    365,452.24x = 103,036,227,832.01
  5. Step 5: Solve for x
    x = 103,036,227,832.01/365,452.24
  6. Step 6: Final answer
    x = 281,941.71

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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.