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Finding the Fourth Proportional to 396,345.88, 594,519.23 and 185,984.02

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Solution

The fourth proportional to 396,345.88, 594,519.23 and 185,984.02 is: 278,976.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,345.88 : 594,519.23 = 185,984.02 : x
  2. Step 2: Convert to fraction form
    396,345.88/594,519.23 = 185,984.02/x
  3. Step 3: Cross multiply
    396,345.88x = 594,519.23 × 185,984.02
  4. Step 4: Simplify right side
    396,345.88x = 110,571,078,313.96
  5. Step 5: Solve for x
    x = 110,571,078,313.96/396,345.88
  6. Step 6: Final answer
    x = 278,976.23

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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.