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Finding the Fourth Proportional to 422,832.11, 633,004.00 and 282,242.03

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Solution

The fourth proportional to 422,832.11, 633,004.00 and 282,242.03 is: 422,532.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,832.11 : 633,004.00 = 282,242.03 : x
  2. Step 2: Convert to fraction form
    422,832.11/633,004.00 = 282,242.03/x
  3. Step 3: Cross multiply
    422,832.11x = 633,004.00 × 282,242.03
  4. Step 4: Simplify right side
    422,832.11x = 178,660,330,087.50
  5. Step 5: Solve for x
    x = 178,660,330,087.50/422,832.11
  6. Step 6: Final answer
    x = 422,532.56

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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.