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Finding the Fourth Proportional to 365,794.89, 504,816.55 and 204,640.32

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Solution

The fourth proportional to 365,794.89, 504,816.55 and 204,640.32 is: 282,414.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,794.89 : 504,816.55 = 204,640.32 : x
  2. Step 2: Convert to fraction form
    365,794.89/504,816.55 = 204,640.32/x
  3. Step 3: Cross multiply
    365,794.89x = 504,816.55 × 204,640.32
  4. Step 4: Simplify right side
    365,794.89x = 103,305,822,865.86
  5. Step 5: Solve for x
    x = 103,305,822,865.86/365,794.89
  6. Step 6: Final answer
    x = 282,414.62

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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.