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Finding the Fourth Proportional to 325,684.29, 449,314.92 and 203,104.56

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Solution

The fourth proportional to 325,684.29, 449,314.92 and 203,104.56 is: 280,203.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,684.29 : 449,314.92 = 203,104.56 : x
  2. Step 2: Convert to fraction form
    325,684.29/449,314.92 = 203,104.56/x
  3. Step 3: Cross multiply
    325,684.29x = 449,314.92 × 203,104.56
  4. Step 4: Simplify right side
    325,684.29x = 91,257,909,128.04
  5. Step 5: Solve for x
    x = 91,257,909,128.04/325,684.29
  6. Step 6: Final answer
    x = 280,203.60

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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.