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Finding the Fourth Proportional to 291,231.60, 436,847.40 and 231,745.20

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Solution

The fourth proportional to 291,231.60, 436,847.40 and 231,745.20 is: 347,617.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,231.60 : 436,847.40 = 231,745.20 : x
  2. Step 2: Convert to fraction form
    291,231.60/436,847.40 = 231,745.20/x
  3. Step 3: Cross multiply
    291,231.60x = 436,847.40 × 231,745.20
  4. Step 4: Simplify right side
    291,231.60x = 101,237,288,082.48
  5. Step 5: Solve for x
    x = 101,237,288,082.48/291,231.60
  6. Step 6: Final answer
    x = 347,617.80

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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.