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Finding the Fourth Proportional to 311,791.56, 430,276.50 and 184,463.88

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Solution

The fourth proportional to 311,791.56, 430,276.50 and 184,463.88 is: 254,562.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,791.56 : 430,276.50 = 184,463.88 : x
  2. Step 2: Convert to fraction form
    311,791.56/430,276.50 = 184,463.88/x
  3. Step 3: Cross multiply
    311,791.56x = 430,276.50 × 184,463.88
  4. Step 4: Simplify right side
    311,791.56x = 79,370,472,662.82
  5. Step 5: Solve for x
    x = 79,370,472,662.82/311,791.56
  6. Step 6: Final answer
    x = 254,562.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.