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Finding the Fourth Proportional to 396,643.20, 547,364.40 and 215,351.55

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Solution

The fourth proportional to 396,643.20, 547,364.40 and 215,351.55 is: 297,183.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,643.20 : 547,364.40 = 215,351.55 : x
  2. Step 2: Convert to fraction form
    396,643.20/547,364.40 = 215,351.55/x
  3. Step 3: Cross multiply
    396,643.20x = 547,364.40 × 215,351.55
  4. Step 4: Simplify right side
    396,643.20x = 117,875,771,954.82
  5. Step 5: Solve for x
    x = 117,875,771,954.82/396,643.20
  6. Step 6: Final answer
    x = 297,183.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.