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Finding the Fourth Proportional to 322,963.98, 445,828.35 and 229,890.32

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Solution

The fourth proportional to 322,963.98, 445,828.35 and 229,890.32 is: 317,346.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,963.98 : 445,828.35 = 229,890.32 : x
  2. Step 2: Convert to fraction form
    322,963.98/445,828.35 = 229,890.32/x
  3. Step 3: Cross multiply
    322,963.98x = 445,828.35 × 229,890.32
  4. Step 4: Simplify right side
    322,963.98x = 102,491,622,351.38
  5. Step 5: Solve for x
    x = 102,491,622,351.38/322,963.98
  6. Step 6: Final answer
    x = 317,346.92

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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.