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Finding the Fourth Proportional to 681,447.26, 940,398.56 and 409,519.33

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Solution

The fourth proportional to 681,447.26, 940,398.56 and 409,519.33 is: 565,137.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,447.26 : 940,398.56 = 409,519.33 : x
  2. Step 2: Convert to fraction form
    681,447.26/940,398.56 = 409,519.33/x
  3. Step 3: Cross multiply
    681,447.26x = 940,398.56 × 409,519.33
  4. Step 4: Simplify right side
    681,447.26x = 385,111,385,361.27
  5. Step 5: Solve for x
    x = 385,111,385,361.27/681,447.26
  6. Step 6: Final answer
    x = 565,137.48

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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.