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Finding the Fourth Proportional to 365,879.20, 504,936.72 and 204,752.80

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Solution

The fourth proportional to 365,879.20, 504,936.72 and 204,752.80 is: 282,571.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,879.20 : 504,936.72 = 204,752.80 : x
  2. Step 2: Convert to fraction form
    365,879.20/504,936.72 = 204,752.80/x
  3. Step 3: Cross multiply
    365,879.20x = 504,936.72 × 204,752.80
  4. Step 4: Simplify right side
    365,879.20x = 103,387,207,242.82
  5. Step 5: Solve for x
    x = 103,387,207,242.82/365,879.20
  6. Step 6: Final answer
    x = 282,571.97

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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.