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Finding the Fourth Proportional to 288,204.09, 397,669.21 and 202,425.17

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Solution

The fourth proportional to 288,204.09, 397,669.21 and 202,425.17 is: 279,309.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,204.09 : 397,669.21 = 202,425.17 : x
  2. Step 2: Convert to fraction form
    288,204.09/397,669.21 = 202,425.17/x
  3. Step 3: Cross multiply
    288,204.09x = 397,669.21 × 202,425.17
  4. Step 4: Simplify right side
    288,204.09x = 80,498,257,438.02
  5. Step 5: Solve for x
    x = 80,498,257,438.02/288,204.09
  6. Step 6: Final answer
    x = 279,309.91

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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.