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Finding the Fourth Proportional to 324,413.62, 486,633.83 and 111,328

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Solution

The fourth proportional to 324,413.62, 486,633.83 and 111,328 is: 166,996.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,413.62 : 486,633.83 = 111,328 : x
  2. Step 2: Convert to fraction form
    324,413.62/486,633.83 = 111,328/x
  3. Step 3: Cross multiply
    324,413.62x = 486,633.83 × 111,328
  4. Step 4: Simplify right side
    324,413.62x = 54,175,971,026.24
  5. Step 5: Solve for x
    x = 54,175,971,026.24/324,413.62
  6. Step 6: Final answer
    x = 166,996.60

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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.