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Finding the Fourth Proportional to 275,413.40, 413,120.10 and 205,429.40

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Solution

The fourth proportional to 275,413.40, 413,120.10 and 205,429.40 is: 308,144.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,413.40 : 413,120.10 = 205,429.40 : x
  2. Step 2: Convert to fraction form
    275,413.40/413,120.10 = 205,429.40/x
  3. Step 3: Cross multiply
    275,413.40x = 413,120.10 × 205,429.40
  4. Step 4: Simplify right side
    275,413.40x = 84,867,014,270.94
  5. Step 5: Solve for x
    x = 84,867,014,270.94/275,413.40
  6. Step 6: Final answer
    x = 308,144.10

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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.