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Finding the Fourth Proportional to 325,672.23, 449,375.35 and 204,727.88

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Solution

The fourth proportional to 325,672.23, 449,375.35 and 204,727.88 is: 282,491.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,672.23 : 449,375.35 = 204,727.88 : x
  2. Step 2: Convert to fraction form
    325,672.23/449,375.35 = 204,727.88/x
  3. Step 3: Cross multiply
    325,672.23x = 449,375.35 × 204,727.88
  4. Step 4: Simplify right side
    325,672.23x = 91,999,662,729.76
  5. Step 5: Solve for x
    x = 91,999,662,729.76/325,672.23
  6. Step 6: Final answer
    x = 282,491.58

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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.