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Finding the Fourth Proportional to 325,297.43, 448,856.88 and 204,353.05

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Solution

The fourth proportional to 325,297.43, 448,856.88 and 204,353.05 is: 281,973.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,297.43 : 448,856.88 = 204,353.05 : x
  2. Step 2: Convert to fraction form
    325,297.43/448,856.88 = 204,353.05/x
  3. Step 3: Cross multiply
    325,297.43x = 448,856.88 × 204,353.05
  4. Step 4: Simplify right side
    325,297.43x = 91,725,273,519.15
  5. Step 5: Solve for x
    x = 91,725,273,519.15/325,297.43
  6. Step 6: Final answer
    x = 281,973.56

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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.