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Finding the Fourth Proportional to 300,660.98, 414,896.10 and 164,687.90

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Solution

The fourth proportional to 300,660.98, 414,896.10 and 164,687.90 is: 227,260.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,660.98 : 414,896.10 = 164,687.90 : x
  2. Step 2: Convert to fraction form
    300,660.98/414,896.10 = 164,687.90/x
  3. Step 3: Cross multiply
    300,660.98x = 414,896.10 × 164,687.90
  4. Step 4: Simplify right side
    300,660.98x = 68,328,365,352.71
  5. Step 5: Solve for x
    x = 68,328,365,352.71/300,660.98
  6. Step 6: Final answer
    x = 227,260.51

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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.