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Finding the Fourth Proportional to 416,116.80, 624,088.80 and 179,467.20

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Solution

The fourth proportional to 416,116.80, 624,088.80 and 179,467.20 is: 269,163.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,116.80 : 624,088.80 = 179,467.20 : x
  2. Step 2: Convert to fraction form
    416,116.80/624,088.80 = 179,467.20/x
  3. Step 3: Cross multiply
    416,116.80x = 624,088.80 × 179,467.20
  4. Step 4: Simplify right side
    416,116.80x = 112,003,469,487.36
  5. Step 5: Solve for x
    x = 112,003,469,487.36/416,116.80
  6. Step 6: Final answer
    x = 269,163.54

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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.