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Finding the Fourth Proportional to 338,879.56, 467,709.86 and 188,025.16

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Solution

The fourth proportional to 338,879.56, 467,709.86 and 188,025.16 is: 259,505.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,879.56 : 467,709.86 = 188,025.16 : x
  2. Step 2: Convert to fraction form
    338,879.56/467,709.86 = 188,025.16/x
  3. Step 3: Cross multiply
    338,879.56x = 467,709.86 × 188,025.16
  4. Step 4: Simplify right side
    338,879.56x = 87,941,221,260.08
  5. Step 5: Solve for x
    x = 87,941,221,260.08/338,879.56
  6. Step 6: Final answer
    x = 259,505.83

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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.