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Finding the Fourth Proportional to 323,164.80, 483,777.36 and 196,413.84

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Solution

The fourth proportional to 323,164.80, 483,777.36 and 196,413.84 is: 294,031.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,164.80 : 483,777.36 = 196,413.84 : x
  2. Step 2: Convert to fraction form
    323,164.80/483,777.36 = 196,413.84/x
  3. Step 3: Cross multiply
    323,164.80x = 483,777.36 × 196,413.84
  4. Step 4: Simplify right side
    323,164.80x = 95,020,568,982.66
  5. Step 5: Solve for x
    x = 95,020,568,982.66/323,164.80
  6. Step 6: Final answer
    x = 294,031.31

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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.