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Finding the Fourth Proportional to 778,232.97, 1,073,960.87 and 420,536.97

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Solution

The fourth proportional to 778,232.97, 1,073,960.87 and 420,536.97 is: 580,340.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,232.97 : 1,073,960.87 = 420,536.97 : x
  2. Step 2: Convert to fraction form
    778,232.97/1,073,960.87 = 420,536.97/x
  3. Step 3: Cross multiply
    778,232.97x = 1,073,960.87 × 420,536.97
  4. Step 4: Simplify right side
    778,232.97x = 451,640,248,065.68
  5. Step 5: Solve for x
    x = 451,640,248,065.68/778,232.97
  6. Step 6: Final answer
    x = 580,340.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.