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Finding the Fourth Proportional to 301,753.56, 416,246.68 and 188,379.48

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Solution

The fourth proportional to 301,753.56, 416,246.68 and 188,379.48 is: 259,855.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,753.56 : 416,246.68 = 188,379.48 : x
  2. Step 2: Convert to fraction form
    301,753.56/416,246.68 = 188,379.48/x
  3. Step 3: Cross multiply
    301,753.56x = 416,246.68 × 188,379.48
  4. Step 4: Simplify right side
    301,753.56x = 78,412,332,585.14
  5. Step 5: Solve for x
    x = 78,412,332,585.14/301,753.56
  6. Step 6: Final answer
    x = 259,855.54

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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.