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Finding the Fourth Proportional to 291,198.46, 436,954.64 and 122,835.44

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Solution

The fourth proportional to 291,198.46, 436,954.64 and 122,835.44 is: 184,319.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,198.46 : 436,954.64 = 122,835.44 : x
  2. Step 2: Convert to fraction form
    291,198.46/436,954.64 = 122,835.44/x
  3. Step 3: Cross multiply
    291,198.46x = 436,954.64 × 122,835.44
  4. Step 4: Simplify right side
    291,198.46x = 53,673,515,464.44
  5. Step 5: Solve for x
    x = 53,673,515,464.44/291,198.46
  6. Step 6: Final answer
    x = 184,319.37

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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.