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Finding the Fourth Proportional to 365,391.42, 504,231.26 and 204,265.41

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Solution

The fourth proportional to 365,391.42, 504,231.26 and 204,265.41 is: 281,881.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,391.42 : 504,231.26 = 204,265.41 : x
  2. Step 2: Convert to fraction form
    365,391.42/504,231.26 = 204,265.41/x
  3. Step 3: Cross multiply
    365,391.42x = 504,231.26 × 204,265.41
  4. Step 4: Simplify right side
    365,391.42x = 102,997,002,146.52
  5. Step 5: Solve for x
    x = 102,997,002,146.52/365,391.42
  6. Step 6: Final answer
    x = 281,881.29

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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.