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Finding the Fourth Proportional to 305,825.41, 458,738.12 and 95,481.37

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Solution

The fourth proportional to 305,825.41, 458,738.12 and 95,481.37 is: 143,222.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,825.41 : 458,738.12 = 95,481.37 : x
  2. Step 2: Convert to fraction form
    305,825.41/458,738.12 = 95,481.37/x
  3. Step 3: Cross multiply
    305,825.41x = 458,738.12 × 95,481.37
  4. Step 4: Simplify right side
    305,825.41x = 43,800,944,168.82
  5. Step 5: Solve for x
    x = 43,800,944,168.82/305,825.41
  6. Step 6: Final answer
    x = 143,222.06

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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.