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Finding the Fourth Proportional to 396,419.42, 594,623.96 and 96,902.63

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Solution

The fourth proportional to 396,419.42, 594,623.96 and 96,902.63 is: 145,352.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,419.42 : 594,623.96 = 96,902.63 : x
  2. Step 2: Convert to fraction form
    396,419.42/594,623.96 = 96,902.63/x
  3. Step 3: Cross multiply
    396,419.42x = 594,623.96 × 96,902.63
  4. Step 4: Simplify right side
    396,419.42x = 57,620,624,993.15
  5. Step 5: Solve for x
    x = 57,620,624,993.15/396,419.42
  6. Step 6: Final answer
    x = 145,352.68

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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.