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Finding the Fourth Proportional to 396,878.64, 547,702.32 and 227,167.44

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Solution

The fourth proportional to 396,878.64, 547,702.32 and 227,167.44 is: 313,496.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,878.64 : 547,702.32 = 227,167.44 : x
  2. Step 2: Convert to fraction form
    396,878.64/547,702.32 = 227,167.44/x
  3. Step 3: Cross multiply
    396,878.64x = 547,702.32 × 227,167.44
  4. Step 4: Simplify right side
    396,878.64x = 124,420,133,916.46
  5. Step 5: Solve for x
    x = 124,420,133,916.46/396,878.64
  6. Step 6: Final answer
    x = 313,496.67

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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.