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Finding the Fourth Proportional to 274,558.52, 411,741.26 and 82,375.65

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Solution

The fourth proportional to 274,558.52, 411,741.26 and 82,375.65 is: 123,534.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,558.52 : 411,741.26 = 82,375.65 : x
  2. Step 2: Convert to fraction form
    274,558.52/411,741.26 = 82,375.65/x
  3. Step 3: Cross multiply
    274,558.52x = 411,741.26 × 82,375.65
  4. Step 4: Simplify right side
    274,558.52x = 33,917,453,924.32
  5. Step 5: Solve for x
    x = 33,917,453,924.32/274,558.52
  6. Step 6: Final answer
    x = 123,534.52

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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.