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Finding the Fourth Proportional to 804,578, 1,206,867 and 205,540.48

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Solution

The fourth proportional to 804,578, 1,206,867 and 205,540.48 is: 308,310.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,578 : 1,206,867 = 205,540.48 : x
  2. Step 2: Convert to fraction form
    804,578/1,206,867 = 205,540.48/x
  3. Step 3: Cross multiply
    804,578x = 1,206,867 × 205,540.48
  4. Step 4: Simplify right side
    804,578x = 248,060,022,476.16
  5. Step 5: Solve for x
    x = 248,060,022,476.16/804,578
  6. Step 6: Final answer
    x = 308,310.72

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