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Finding the Fourth Proportional to 778,559.46, 1,074,413.61 and 420,863.46

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Solution

The fourth proportional to 778,559.46, 1,074,413.61 and 420,863.46 is: 580,792.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,559.46 : 1,074,413.61 = 420,863.46 : x
  2. Step 2: Convert to fraction form
    778,559.46/1,074,413.61 = 420,863.46/x
  3. Step 3: Cross multiply
    778,559.46x = 1,074,413.61 × 420,863.46
  4. Step 4: Simplify right side
    778,559.46x = 452,181,429,375.69
  5. Step 5: Solve for x
    x = 452,181,429,375.69/778,559.46
  6. Step 6: Final answer
    x = 580,792.42

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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.