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Finding the Fourth Proportional to 365,753.85, 504,728.60 and 204,605.43

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Solution

The fourth proportional to 365,753.85, 504,728.60 and 204,605.43 is: 282,348.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,753.85 : 504,728.60 = 204,605.43 : x
  2. Step 2: Convert to fraction form
    365,753.85/504,728.60 = 204,605.43/x
  3. Step 3: Cross multiply
    365,753.85x = 504,728.60 × 204,605.43
  4. Step 4: Simplify right side
    365,753.85x = 103,270,211,213.27
  5. Step 5: Solve for x
    x = 103,270,211,213.27/365,753.85
  6. Step 6: Final answer
    x = 282,348.94

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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.