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Finding the Fourth Proportional to 273,464.80, 410,197.20 and 203,480.80

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Solution

The fourth proportional to 273,464.80, 410,197.20 and 203,480.80 is: 305,221.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,464.80 : 410,197.20 = 203,480.80 : x
  2. Step 2: Convert to fraction form
    273,464.80/410,197.20 = 203,480.80/x
  3. Step 3: Cross multiply
    273,464.80x = 410,197.20 × 203,480.80
  4. Step 4: Simplify right side
    273,464.80x = 83,467,254,413.76
  5. Step 5: Solve for x
    x = 83,467,254,413.76/273,464.80
  6. Step 6: Final answer
    x = 305,221.20

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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.