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Finding the Fourth Proportional to 325,843.61, 449,535.89 and 203,264.65

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Solution

The fourth proportional to 325,843.61, 449,535.89 and 203,264.65 is: 280,425.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,843.61 : 449,535.89 = 203,264.65 : x
  2. Step 2: Convert to fraction form
    325,843.61/449,535.89 = 203,264.65/x
  3. Step 3: Cross multiply
    325,843.61x = 449,535.89 × 203,264.65
  4. Step 4: Simplify right side
    325,843.61x = 91,374,754,122.50
  5. Step 5: Solve for x
    x = 91,374,754,122.50/325,843.61
  6. Step 6: Final answer
    x = 280,425.19

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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.