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Finding the Fourth Proportional to 397,849, 596,773.50 and 135,193

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Solution

The fourth proportional to 397,849, 596,773.50 and 135,193 is: 202,789.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,849 : 596,773.50 = 135,193 : x
  2. Step 2: Convert to fraction form
    397,849/596,773.50 = 135,193/x
  3. Step 3: Cross multiply
    397,849x = 596,773.50 × 135,193
  4. Step 4: Simplify right side
    397,849x = 80,679,599,785.50
  5. Step 5: Solve for x
    x = 80,679,599,785.50/397,849
  6. Step 6: Final answer
    x = 202,789.50

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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.