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Finding the Fourth Proportional to 496,551, 685,240.38 and 270,198.12

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Solution

The fourth proportional to 496,551, 685,240.38 and 270,198.12 is: 372,873.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,551 : 685,240.38 = 270,198.12 : x
  2. Step 2: Convert to fraction form
    496,551/685,240.38 = 270,198.12/x
  3. Step 3: Cross multiply
    496,551x = 685,240.38 × 270,198.12
  4. Step 4: Simplify right side
    496,551x = 185,150,662,424.09
  5. Step 5: Solve for x
    x = 185,150,662,424.09/496,551
  6. Step 6: Final answer
    x = 372,873.41

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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.