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Finding the Fourth Proportional to 396,709.50, 595,164.94 and 183,631.11

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Solution

The fourth proportional to 396,709.50, 595,164.94 and 183,631.11 is: 275,493.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,709.50 : 595,164.94 = 183,631.11 : x
  2. Step 2: Convert to fraction form
    396,709.50/595,164.94 = 183,631.11/x
  3. Step 3: Cross multiply
    396,709.50x = 595,164.94 × 183,631.11
  4. Step 4: Simplify right side
    396,709.50x = 109,290,800,575.55
  5. Step 5: Solve for x
    x = 109,290,800,575.55/396,709.50
  6. Step 6: Final answer
    x = 275,493.28

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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.