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Finding the Fourth Proportional to 397,768.52, 548,932.90 and 225,693.77

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Solution

The fourth proportional to 397,768.52, 548,932.90 and 225,693.77 is: 311,464.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,768.52 : 548,932.90 = 225,693.77 : x
  2. Step 2: Convert to fraction form
    397,768.52/548,932.90 = 225,693.77/x
  3. Step 3: Cross multiply
    397,768.52x = 548,932.90 × 225,693.77
  4. Step 4: Simplify right side
    397,768.52x = 123,890,734,336.18
  5. Step 5: Solve for x
    x = 123,890,734,336.18/397,768.52
  6. Step 6: Final answer
    x = 311,464.40

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Why These Related Problems?

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