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Finding the Fourth Proportional to 274,595.97, 411,814.40 and 82,462.65

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Solution

The fourth proportional to 274,595.97, 411,814.40 and 82,462.65 is: 123,670.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,595.97 : 411,814.40 = 82,462.65 : x
  2. Step 2: Convert to fraction form
    274,595.97/411,814.40 = 82,462.65/x
  3. Step 3: Cross multiply
    274,595.97x = 411,814.40 × 82,462.65
  4. Step 4: Simplify right side
    274,595.97x = 33,959,306,629.08
  5. Step 5: Solve for x
    x = 33,959,306,629.08/274,595.97
  6. Step 6: Final answer
    x = 123,670.08

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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.