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Finding the Fourth Proportional to 494,413.50, 741,180.42 and 178,800.24

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Solution

The fourth proportional to 494,413.50, 741,180.42 and 178,800.24 is: 268,041.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,413.50 : 741,180.42 = 178,800.24 : x
  2. Step 2: Convert to fraction form
    494,413.50/741,180.42 = 178,800.24/x
  3. Step 3: Cross multiply
    494,413.50x = 741,180.42 × 178,800.24
  4. Step 4: Simplify right side
    494,413.50x = 132,523,236,979.30
  5. Step 5: Solve for x
    x = 132,523,236,979.30/494,413.50
  6. Step 6: Final answer
    x = 268,041.30

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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.