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Finding the Fourth Proportional to 274,103.20, 410,895.60 and 161,869.60

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Solution

The fourth proportional to 274,103.20, 410,895.60 and 161,869.60 is: 242,651.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,103.20 : 410,895.60 = 161,869.60 : x
  2. Step 2: Convert to fraction form
    274,103.20/410,895.60 = 161,869.60/x
  3. Step 3: Cross multiply
    274,103.20x = 410,895.60 × 161,869.60
  4. Step 4: Simplify right side
    274,103.20x = 66,511,506,413.76
  5. Step 5: Solve for x
    x = 66,511,506,413.76/274,103.20
  6. Step 6: Final answer
    x = 242,651.33

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1.5x scale

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.