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Finding the Fourth Proportional to 322,413.60, 483,620.40 and 197,824.80

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Solution

The fourth proportional to 322,413.60, 483,620.40 and 197,824.80 is: 296,737.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,413.60 : 483,620.40 = 197,824.80 : x
  2. Step 2: Convert to fraction form
    322,413.60/483,620.40 = 197,824.80/x
  3. Step 3: Cross multiply
    322,413.60x = 483,620.40 × 197,824.80
  4. Step 4: Simplify right side
    322,413.60x = 95,672,108,905.92
  5. Step 5: Solve for x
    x = 95,672,108,905.92/322,413.60
  6. Step 6: Final answer
    x = 296,737.20

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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.