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Finding the Fourth Proportional to 494,304.40, 741,413.40 and 161,880.40

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Solution

The fourth proportional to 494,304.40, 741,413.40 and 161,880.40 is: 242,806.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,304.40 : 741,413.40 = 161,880.40 : x
  2. Step 2: Convert to fraction form
    494,304.40/741,413.40 = 161,880.40/x
  3. Step 3: Cross multiply
    494,304.40x = 741,413.40 × 161,880.40
  4. Step 4: Simplify right side
    494,304.40x = 120,020,297,757.36
  5. Step 5: Solve for x
    x = 120,020,297,757.36/494,304.40
  6. Step 6: Final answer
    x = 242,806.45

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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.