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Finding the Fourth Proportional to 361,211.88, 498,450.48 and 200,057.28

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Solution

The fourth proportional to 361,211.88, 498,450.48 and 200,057.28 is: 276,066.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,211.88 : 498,450.48 = 200,057.28 : x
  2. Step 2: Convert to fraction form
    361,211.88/498,450.48 = 200,057.28/x
  3. Step 3: Cross multiply
    361,211.88x = 498,450.48 × 200,057.28
  4. Step 4: Simplify right side
    361,211.88x = 99,718,647,243.49
  5. Step 5: Solve for x
    x = 99,718,647,243.49/361,211.88
  6. Step 6: Final answer
    x = 276,066.91

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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.