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Finding the Fourth Proportional to 325,796.54, 488,394.12 and 226,003.82

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Solution

The fourth proportional to 325,796.54, 488,394.12 and 226,003.82 is: 338,797.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,796.54 : 488,394.12 = 226,003.82 : x
  2. Step 2: Convert to fraction form
    325,796.54/488,394.12 = 226,003.82/x
  3. Step 3: Cross multiply
    325,796.54x = 488,394.12 × 226,003.82
  4. Step 4: Simplify right side
    325,796.54x = 110,378,936,785.54
  5. Step 5: Solve for x
    x = 110,378,936,785.54/325,796.54
  6. Step 6: Final answer
    x = 338,797.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.