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Finding the Fourth Proportional to 416,517.87, 624,356.13 and 163,975.56

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Solution

The fourth proportional to 416,517.87, 624,356.13 and 163,975.56 is: 245,797.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,517.87 : 624,356.13 = 163,975.56 : x
  2. Step 2: Convert to fraction form
    416,517.87/624,356.13 = 163,975.56/x
  3. Step 3: Cross multiply
    416,517.87x = 624,356.13 × 163,975.56
  4. Step 4: Simplify right side
    416,517.87x = 102,379,148,214.21
  5. Step 5: Solve for x
    x = 102,379,148,214.21/416,517.87
  6. Step 6: Final answer
    x = 245,797.73

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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.