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Finding the Fourth Proportional to 777,794, 1,073,356.44 and 420,098

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Solution

The fourth proportional to 777,794, 1,073,356.44 and 420,098 is: 579,735.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,794 : 1,073,356.44 = 420,098 : x
  2. Step 2: Convert to fraction form
    777,794/1,073,356.44 = 420,098/x
  3. Step 3: Cross multiply
    777,794x = 1,073,356.44 × 420,098
  4. Step 4: Simplify right side
    777,794x = 450,914,893,731.12
  5. Step 5: Solve for x
    x = 450,914,893,731.12/777,794
  6. Step 6: Final answer
    x = 579,735.63

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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.