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Finding the Fourth Proportional to 305,825.54, 458,738.30 and 95,481.50

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Solution

The fourth proportional to 305,825.54, 458,738.30 and 95,481.50 is: 143,222.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,825.54 : 458,738.30 = 95,481.50 : x
  2. Step 2: Convert to fraction form
    305,825.54/458,738.30 = 95,481.50/x
  3. Step 3: Cross multiply
    305,825.54x = 458,738.30 × 95,481.50
  4. Step 4: Simplify right side
    305,825.54x = 43,801,018,936.46
  5. Step 5: Solve for x
    x = 43,801,018,936.46/305,825.54
  6. Step 6: Final answer
    x = 143,222.24

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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.