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Finding the Fourth Proportional to 778,063.78, 1,073,727.12 and 420,367.78

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Solution

The fourth proportional to 778,063.78, 1,073,727.12 and 420,367.78 is: 580,107.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,063.78 : 1,073,727.12 = 420,367.78 : x
  2. Step 2: Convert to fraction form
    778,063.78/1,073,727.12 = 420,367.78/x
  3. Step 3: Cross multiply
    778,063.78x = 1,073,727.12 × 420,367.78
  4. Step 4: Simplify right side
    778,063.78x = 451,360,285,760.19
  5. Step 5: Solve for x
    x = 451,360,285,760.19/778,063.78
  6. Step 6: Final answer
    x = 580,107.05

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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.