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Finding the Fourth Proportional to 300,525.17, 414,706.39 and 164,560.73

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Solution

The fourth proportional to 300,525.17, 414,706.39 and 164,560.73 is: 227,083.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,525.17 : 414,706.39 = 164,560.73 : x
  2. Step 2: Convert to fraction form
    300,525.17/414,706.39 = 164,560.73/x
  3. Step 3: Cross multiply
    300,525.17x = 414,706.39 × 164,560.73
  4. Step 4: Simplify right side
    300,525.17x = 68,244,383,789.13
  5. Step 5: Solve for x
    x = 68,244,383,789.13/300,525.17
  6. Step 6: Final answer
    x = 227,083.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.