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Finding the Fourth Proportional to 397,760, 548,917.44 and 218,912

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Solution

The fourth proportional to 397,760, 548,917.44 and 218,912 is: 302,103.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,760 : 548,917.44 = 218,912 : x
  2. Step 2: Convert to fraction form
    397,760/548,917.44 = 218,912/x
  3. Step 3: Cross multiply
    397,760x = 548,917.44 × 218,912
  4. Step 4: Simplify right side
    397,760x = 120,164,614,625.28
  5. Step 5: Solve for x
    x = 120,164,614,625.28/397,760
  6. Step 6: Final answer
    x = 302,103.32

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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.