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Finding the Fourth Proportional to 416,287.20, 624,679.94 and 179,629.92

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Solution

The fourth proportional to 416,287.20, 624,679.94 and 179,629.92 is: 269,552.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,287.20 : 624,679.94 = 179,629.92 : x
  2. Step 2: Convert to fraction form
    416,287.20/624,679.94 = 179,629.92/x
  3. Step 3: Cross multiply
    416,287.20x = 624,679.94 × 179,629.92
  4. Step 4: Simplify right side
    416,287.20x = 112,211,207,647.81
  5. Step 5: Solve for x
    x = 112,211,207,647.81/416,287.20
  6. Step 6: Final answer
    x = 269,552.39

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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.