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Finding the Fourth Proportional to 396,952.73, 596,610.14 and 186,738.29

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Solution

The fourth proportional to 396,952.73, 596,610.14 and 186,738.29 is: 280,663.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,952.73 : 596,610.14 = 186,738.29 : x
  2. Step 2: Convert to fraction form
    396,952.73/596,610.14 = 186,738.29/x
  3. Step 3: Cross multiply
    396,952.73x = 596,610.14 × 186,738.29
  4. Step 4: Simplify right side
    396,952.73x = 111,409,957,340.26
  5. Step 5: Solve for x
    x = 111,409,957,340.26/396,952.73
  6. Step 6: Final answer
    x = 280,663.03

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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.