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Finding the Fourth Proportional to 396,057.02, 594,241.05 and 174,285.50

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Solution

The fourth proportional to 396,057.02, 594,241.05 and 174,285.50 is: 261,496.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,057.02 : 594,241.05 = 174,285.50 : x
  2. Step 2: Convert to fraction form
    396,057.02/594,241.05 = 174,285.50/x
  3. Step 3: Cross multiply
    396,057.02x = 594,241.05 × 174,285.50
  4. Step 4: Simplify right side
    396,057.02x = 103,567,598,519.78
  5. Step 5: Solve for x
    x = 103,567,598,519.78/396,057.02
  6. Step 6: Final answer
    x = 261,496.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.