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Finding the Fourth Proportional to 271,529.46, 407,207.79 and 113,728.50

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Solution

The fourth proportional to 271,529.46, 407,207.79 and 113,728.50 is: 170,556.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,529.46 : 407,207.79 = 113,728.50 : x
  2. Step 2: Convert to fraction form
    271,529.46/407,207.79 = 113,728.50/x
  3. Step 3: Cross multiply
    271,529.46x = 407,207.79 × 113,728.50
  4. Step 4: Simplify right side
    271,529.46x = 46,311,131,145.02
  5. Step 5: Solve for x
    x = 46,311,131,145.02/271,529.46
  6. Step 6: Final answer
    x = 170,556.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.