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Finding the Fourth Proportional to 396,448.94, 594,668.09 and 96,932.10

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Solution

The fourth proportional to 396,448.94, 594,668.09 and 96,932.10 is: 145,396.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,448.94 : 594,668.09 = 96,932.10 : x
  2. Step 2: Convert to fraction form
    396,448.94/594,668.09 = 96,932.10/x
  3. Step 3: Cross multiply
    396,448.94x = 594,668.09 × 96,932.10
  4. Step 4: Simplify right side
    396,448.94x = 57,642,425,037.69
  5. Step 5: Solve for x
    x = 57,642,425,037.69/396,448.94
  6. Step 6: Final answer
    x = 145,396.85

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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.