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Finding the Fourth Proportional to 268,942.40, 403,413.60 and 180,468.80

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Solution

The fourth proportional to 268,942.40, 403,413.60 and 180,468.80 is: 270,703.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,942.40 : 403,413.60 = 180,468.80 : x
  2. Step 2: Convert to fraction form
    268,942.40/403,413.60 = 180,468.80/x
  3. Step 3: Cross multiply
    268,942.40x = 403,413.60 × 180,468.80
  4. Step 4: Simplify right side
    268,942.40x = 72,803,568,295.68
  5. Step 5: Solve for x
    x = 72,803,568,295.68/268,942.40
  6. Step 6: Final answer
    x = 270,703.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.