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Finding the Fourth Proportional to 280,198, 386,673.24 and 179,596

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Solution

The fourth proportional to 280,198, 386,673.24 and 179,596 is: 247,842.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,198 : 386,673.24 = 179,596 : x
  2. Step 2: Convert to fraction form
    280,198/386,673.24 = 179,596/x
  3. Step 3: Cross multiply
    280,198x = 386,673.24 × 179,596
  4. Step 4: Simplify right side
    280,198x = 69,444,967,211.04
  5. Step 5: Solve for x
    x = 69,444,967,211.04/280,198
  6. Step 6: Final answer
    x = 247,842.48

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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.