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Finding the Fourth Proportional to 270,604.30, 405,964.05 and 83,634.70

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Solution

The fourth proportional to 270,604.30, 405,964.05 and 83,634.70 is: 125,469.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,604.30 : 405,964.05 = 83,634.70 : x
  2. Step 2: Convert to fraction form
    270,604.30/405,964.05 = 83,634.70/x
  3. Step 3: Cross multiply
    270,604.30x = 405,964.05 × 83,634.70
  4. Step 4: Simplify right side
    270,604.30x = 33,952,681,532.54
  5. Step 5: Solve for x
    x = 33,952,681,532.54/270,604.30
  6. Step 6: Final answer
    x = 125,469.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.