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Finding the Fourth Proportional to 414,940.12, 622,475.82 and 148,694.76

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Solution

The fourth proportional to 414,940.12, 622,475.82 and 148,694.76 is: 223,065.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,940.12 : 622,475.82 = 148,694.76 : x
  2. Step 2: Convert to fraction form
    414,940.12/622,475.82 = 148,694.76/x
  3. Step 3: Cross multiply
    414,940.12x = 622,475.82 × 148,694.76
  4. Step 4: Simplify right side
    414,940.12x = 92,558,892,660.70
  5. Step 5: Solve for x
    x = 92,558,892,660.70/414,940.12
  6. Step 6: Final answer
    x = 223,065.66

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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.