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Finding the Fourth Proportional to 257,293.26, 354,797.01 and 203,493.06

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Solution

The fourth proportional to 257,293.26, 354,797.01 and 203,493.06 is: 280,608.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,293.26 : 354,797.01 = 203,493.06 : x
  2. Step 2: Convert to fraction form
    257,293.26/354,797.01 = 203,493.06/x
  3. Step 3: Cross multiply
    257,293.26x = 354,797.01 × 203,493.06
  4. Step 4: Simplify right side
    257,293.26x = 72,198,729,243.75
  5. Step 5: Solve for x
    x = 72,198,729,243.75/257,293.26
  6. Step 6: Final answer
    x = 280,608.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.