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Finding the Fourth Proportional to 264,662.83, 396,993.30 and 114,883.57

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Solution

The fourth proportional to 264,662.83, 396,993.30 and 114,883.57 is: 172,324.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,662.83 : 396,993.30 = 114,883.57 : x
  2. Step 2: Convert to fraction form
    264,662.83/396,993.30 = 114,883.57/x
  3. Step 3: Cross multiply
    264,662.83x = 396,993.30 × 114,883.57
  4. Step 4: Simplify right side
    264,662.83x = 45,608,007,570.08
  5. Step 5: Solve for x
    x = 45,608,007,570.08/264,662.83
  6. Step 6: Final answer
    x = 172,324.94

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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.