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Finding the Fourth Proportional to 324,694.56, 448,363.92 and 204,045.60

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Solution

The fourth proportional to 324,694.56, 448,363.92 and 204,045.60 is: 281,762.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,694.56 : 448,363.92 = 204,045.60 : x
  2. Step 2: Convert to fraction form
    324,694.56/448,363.92 = 204,045.60/x
  3. Step 3: Cross multiply
    324,694.56x = 448,363.92 × 204,045.60
  4. Step 4: Simplify right side
    324,694.56x = 91,486,685,074.75
  5. Step 5: Solve for x
    x = 91,486,685,074.75/324,694.56
  6. Step 6: Final answer
    x = 281,762.30

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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.