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Finding the Fourth Proportional to 299,413.20, 449,119.80 and 204,934.80

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Solution

The fourth proportional to 299,413.20, 449,119.80 and 204,934.80 is: 307,402.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,413.20 : 449,119.80 = 204,934.80 : x
  2. Step 2: Convert to fraction form
    299,413.20/449,119.80 = 204,934.80/x
  3. Step 3: Cross multiply
    299,413.20x = 449,119.80 × 204,934.80
  4. Step 4: Simplify right side
    299,413.20x = 92,040,276,389.04
  5. Step 5: Solve for x
    x = 92,040,276,389.04/299,413.20
  6. Step 6: Final answer
    x = 307,402.20

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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.