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Finding the Fourth Proportional to 365,761.44, 504,750.96 and 204,616.53

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Solution

The fourth proportional to 365,761.44, 504,750.96 and 204,616.53 is: 282,370.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,761.44 : 504,750.96 = 204,616.53 : x
  2. Step 2: Convert to fraction form
    365,761.44/504,750.96 = 204,616.53/x
  3. Step 3: Cross multiply
    365,761.44x = 504,750.96 × 204,616.53
  4. Step 4: Simplify right side
    365,761.44x = 103,280,389,949.37
  5. Step 5: Solve for x
    x = 103,280,389,949.37/365,761.44
  6. Step 6: Final answer
    x = 282,370.91

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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.