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Finding the Fourth Proportional to 396,802.14, 595,241.01 and 130,564.86

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Solution

The fourth proportional to 396,802.14, 595,241.01 and 130,564.86 is: 195,859.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,802.14 : 595,241.01 = 130,564.86 : x
  2. Step 2: Convert to fraction form
    396,802.14/595,241.01 = 130,564.86/x
  3. Step 3: Cross multiply
    396,802.14x = 595,241.01 × 130,564.86
  4. Step 4: Simplify right side
    396,802.14x = 77,717,559,136.91
  5. Step 5: Solve for x
    x = 77,717,559,136.91/396,802.14
  6. Step 6: Final answer
    x = 195,859.73

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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.