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Finding the Fourth Proportional to 397,120.08, 548,029.92 and 215,832

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Solution

The fourth proportional to 397,120.08, 548,029.92 and 215,832 is: 297,850.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,120.08 : 548,029.92 = 215,832 : x
  2. Step 2: Convert to fraction form
    397,120.08/548,029.92 = 215,832/x
  3. Step 3: Cross multiply
    397,120.08x = 548,029.92 × 215,832
  4. Step 4: Simplify right side
    397,120.08x = 118,282,393,693.44
  5. Step 5: Solve for x
    x = 118,282,393,693.44/397,120.08
  6. Step 6: Final answer
    x = 297,850.45

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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.