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Finding the Fourth Proportional to 289,216.98, 433,260.50 and 199,243.80

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Solution

The fourth proportional to 289,216.98, 433,260.50 and 199,243.80 is: 298,476.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,216.98 : 433,260.50 = 199,243.80 : x
  2. Step 2: Convert to fraction form
    289,216.98/433,260.50 = 199,243.80/x
  3. Step 3: Cross multiply
    289,216.98x = 433,260.50 × 199,243.80
  4. Step 4: Simplify right side
    289,216.98x = 86,324,467,413.68
  5. Step 5: Solve for x
    x = 86,324,467,413.68/289,216.98
  6. Step 6: Final answer
    x = 298,476.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.