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Finding the Fourth Proportional to 324,044.38, 447,185.19 and 188,109.82

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Solution

The fourth proportional to 324,044.38, 447,185.19 and 188,109.82 is: 259,593.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,044.38 : 447,185.19 = 188,109.82 : x
  2. Step 2: Convert to fraction form
    324,044.38/447,185.19 = 188,109.82/x
  3. Step 3: Cross multiply
    324,044.38x = 447,185.19 × 188,109.82
  4. Step 4: Simplify right side
    324,044.38x = 84,119,925,597.57
  5. Step 5: Solve for x
    x = 84,119,925,597.57/324,044.38
  6. Step 6: Final answer
    x = 259,593.84

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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.