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Finding the Fourth Proportional to 324,100.31, 447,298.81 and 188,104.95

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Solution

The fourth proportional to 324,100.31, 447,298.81 and 188,104.95 is: 259,608.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,100.31 : 447,298.81 = 188,104.95 : x
  2. Step 2: Convert to fraction form
    324,100.31/447,298.81 = 188,104.95/x
  3. Step 3: Cross multiply
    324,100.31x = 447,298.81 × 188,104.95
  4. Step 4: Simplify right side
    324,100.31x = 84,139,119,819.85
  5. Step 5: Solve for x
    x = 84,139,119,819.85/324,100.31
  6. Step 6: Final answer
    x = 259,608.27

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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.