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Finding the Fourth Proportional to 231,745.80, 347,294.70 and 184,441.80

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Solution

The fourth proportional to 231,745.80, 347,294.70 and 184,441.80 is: 276,404.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,745.80 : 347,294.70 = 184,441.80 : x
  2. Step 2: Convert to fraction form
    231,745.80/347,294.70 = 184,441.80/x
  3. Step 3: Cross multiply
    231,745.80x = 347,294.70 × 184,441.80
  4. Step 4: Simplify right side
    231,745.80x = 64,055,659,598.46
  5. Step 5: Solve for x
    x = 64,055,659,598.46/231,745.80
  6. Step 6: Final answer
    x = 276,404.83

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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.