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Finding the Fourth Proportional to 396,942.42, 595,505.90 and 130,705.26

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Solution

The fourth proportional to 396,942.42, 595,505.90 and 130,705.26 is: 196,088.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,942.42 : 595,505.90 = 130,705.26 : x
  2. Step 2: Convert to fraction form
    396,942.42/595,505.90 = 130,705.26/x
  3. Step 3: Cross multiply
    396,942.42x = 595,505.90 × 130,705.26
  4. Step 4: Simplify right side
    396,942.42x = 77,835,753,491.03
  5. Step 5: Solve for x
    x = 77,835,753,491.03/396,942.42
  6. Step 6: Final answer
    x = 196,088.27

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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.