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Finding the Fourth Proportional to 264,247.40, 396,431.64 and 114,512.82

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Solution

The fourth proportional to 264,247.40, 396,431.64 and 114,512.82 is: 171,795.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,247.40 : 396,431.64 = 114,512.82 : x
  2. Step 2: Convert to fraction form
    264,247.40/396,431.64 = 114,512.82/x
  3. Step 3: Cross multiply
    264,247.40x = 396,431.64 × 114,512.82
  4. Step 4: Simplify right side
    264,247.40x = 45,396,505,033.62
  5. Step 5: Solve for x
    x = 45,396,505,033.62/264,247.40
  6. Step 6: Final answer
    x = 171,795.47

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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.