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Finding the Fourth Proportional to 397,205.82, 548,006.31 and 254,049.66

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Solution

The fourth proportional to 397,205.82, 548,006.31 and 254,049.66 is: 350,500.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,205.82 : 548,006.31 = 254,049.66 : x
  2. Step 2: Convert to fraction form
    397,205.82/548,006.31 = 254,049.66/x
  3. Step 3: Cross multiply
    397,205.82x = 548,006.31 × 254,049.66
  4. Step 4: Simplify right side
    397,205.82x = 139,220,816,733.36
  5. Step 5: Solve for x
    x = 139,220,816,733.36/397,205.82
  6. Step 6: Final answer
    x = 350,500.45

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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.