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Finding the Fourth Proportional to 322,405.17, 444,845.06 and 200,007.68

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Solution

The fourth proportional to 322,405.17, 444,845.06 and 200,007.68 is: 275,964.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,405.17 : 444,845.06 = 200,007.68 : x
  2. Step 2: Convert to fraction form
    322,405.17/444,845.06 = 200,007.68/x
  3. Step 3: Cross multiply
    322,405.17x = 444,845.06 × 200,007.68
  4. Step 4: Simplify right side
    322,405.17x = 88,972,425,185.80
  5. Step 5: Solve for x
    x = 88,972,425,185.80/322,405.17
  6. Step 6: Final answer
    x = 275,964.64

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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.