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Finding the Fourth Proportional to 297,112.38, 410,008.68 and 168,033.84

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Solution

The fourth proportional to 297,112.38, 410,008.68 and 168,033.84 is: 231,883.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,112.38 : 410,008.68 = 168,033.84 : x
  2. Step 2: Convert to fraction form
    297,112.38/410,008.68 = 168,033.84/x
  3. Step 3: Cross multiply
    297,112.38x = 410,008.68 × 168,033.84
  4. Step 4: Simplify right side
    297,112.38x = 68,895,332,933.73
  5. Step 5: Solve for x
    x = 68,895,332,933.73/297,112.38
  6. Step 6: Final answer
    x = 231,883.08

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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.