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Finding the Fourth Proportional to 274,587.82, 411,941.97 and 82,453.79

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Solution

The fourth proportional to 274,587.82, 411,941.97 and 82,453.79 is: 123,698.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,587.82 : 411,941.97 = 82,453.79 : x
  2. Step 2: Convert to fraction form
    274,587.82/411,941.97 = 82,453.79/x
  3. Step 3: Cross multiply
    274,587.82x = 411,941.97 × 82,453.79
  4. Step 4: Simplify right side
    274,587.82x = 33,966,177,716.42
  5. Step 5: Solve for x
    x = 33,966,177,716.42/274,587.82
  6. Step 6: Final answer
    x = 123,698.78

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Why These Related Problems?

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