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Finding the Fourth Proportional to 396,384, 547,009.92 and 237,408

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Solution

The fourth proportional to 396,384, 547,009.92 and 237,408 is: 327,623.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,384 : 547,009.92 = 237,408 : x
  2. Step 2: Convert to fraction form
    396,384/547,009.92 = 237,408/x
  3. Step 3: Cross multiply
    396,384x = 547,009.92 × 237,408
  4. Step 4: Simplify right side
    396,384x = 129,864,531,087.36
  5. Step 5: Solve for x
    x = 129,864,531,087.36/396,384
  6. Step 6: Final answer
    x = 327,623.04

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