What is the result of the calculation (145.78 + 216.82) X (590.50 - 188.25) ÷ 46.12?

Prepare for the Statistics, Modeling and Finance Exam. Leverage flashcards and multiple choice questions with detailed explanations. Achieve exam success!

To solve the problem, we start by breaking down the calculation into manageable steps while following the order of operations (parentheses, exponents, multiplication and division from left to right).

  1. Calculate the sum within the first parentheses:

145.78 + 216.82 = 362.60

  1. Calculate the difference within the second parentheses:

590.50 - 188.25 = 402.25

  1. Now, multiply the results from the two calculations:

362.60 × 402.25 = 145,026.85

  1. Finally, divide the product by 46.12:

145,026.85 ÷ 46.12 ≈ 3,162.53

Thus, the end result of the entire expression is approximately 3,162.53, confirming that the correct answer is indeed the third option. This result reflects a clear application of the order of operations and accurate arithmetic calculations, leading correctly to the final answer.

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