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Finding the Fourth Proportional to 270,640.40, 405,960.60 and 130,413.20

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Solution

The fourth proportional to 270,640.40, 405,960.60 and 130,413.20 is: 195,619.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,640.40 : 405,960.60 = 130,413.20 : x
  2. Step 2: Convert to fraction form
    270,640.40/405,960.60 = 130,413.20/x
  3. Step 3: Cross multiply
    270,640.40x = 405,960.60 × 130,413.20
  4. Step 4: Simplify right side
    270,640.40x = 52,942,620,919.92
  5. Step 5: Solve for x
    x = 52,942,620,919.92/270,640.40
  6. Step 6: Final answer
    x = 195,619.80

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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.