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Finding the Fourth Proportional to 512,400.72, 769,069.80 and 259,855.50

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Solution

The fourth proportional to 512,400.72, 769,069.80 and 259,855.50 is: 390,020.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,400.72 : 769,069.80 = 259,855.50 : x
  2. Step 2: Convert to fraction form
    512,400.72/769,069.80 = 259,855.50/x
  3. Step 3: Cross multiply
    512,400.72x = 769,069.80 × 259,855.50
  4. Step 4: Simplify right side
    512,400.72x = 199,847,017,413.90
  5. Step 5: Solve for x
    x = 199,847,017,413.90/512,400.72
  6. Step 6: Final answer
    x = 390,020.95

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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.