What is the value of three fourth of sixty percent of 480 ?

Options

A. 216
B. 218
C. 212
D. 214

Explanation

To solve the problem "What is the value of three fourth of sixty percent of 480?", we can break it down into steps:

### Step 1: Calculate 60% of 480
To find 60% of 480, we can use the formula for percentage:
\[ \text{Percentage} = \frac{\text{Percentage Value}}{100} \times \text{Total Value} \]
Thus, we calculate:
\[ 60\% \text{ of } 480 = \frac{60}{100} \times 480 \]
This simplifies to:
\[ = 0.6 \times 480 \]

### Step 2: Simplify the Calculation
To simplify the calculation, we can multiply:
\[ 0.6 \times 480 = 288 \]
So, 60% of 480 is 288.

### Step 3: Calculate Three Fourths of 288
Now, we need to find three fourths of 288:
\[ \text{Three Fourths} = \frac{3}{4} \times 288 \]

### Step 4: Simplify the Calculation
To calculate this, we can divide 288 by 4 first:
\[ 288 \div 4 = 72 \]
Then multiply by 3:
\[ 3 \times 72 = 216 \]

### Final Answer
Thus, the value of three fourth of sixty percent of 480 is:
\[ \boxed{216} \]

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