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Finding the Fourth Proportional to 416,016.82, 624,119.19 and 131,724.64

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Solution

The fourth proportional to 416,016.82, 624,119.19 and 131,724.64 is: 197,616.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,016.82 : 624,119.19 = 131,724.64 : x
  2. Step 2: Convert to fraction form
    416,016.82/624,119.19 = 131,724.64/x
  3. Step 3: Cross multiply
    416,016.82x = 624,119.19 × 131,724.64
  4. Step 4: Simplify right side
    416,016.82x = 82,211,875,619.84
  5. Step 5: Solve for x
    x = 82,211,875,619.84/416,016.82
  6. Step 6: Final answer
    x = 197,616.71

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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.