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Finding the Fourth Proportional to 414,674.46, 621,896.64 and 177,964.50

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Solution

The fourth proportional to 414,674.46, 621,896.64 and 177,964.50 is: 266,897.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,674.46 : 621,896.64 = 177,964.50 : x
  2. Step 2: Convert to fraction form
    414,674.46/621,896.64 = 177,964.50/x
  3. Step 3: Cross multiply
    414,674.46x = 621,896.64 × 177,964.50
  4. Step 4: Simplify right side
    414,674.46x = 110,675,524,589.28
  5. Step 5: Solve for x
    x = 110,675,524,589.28/414,674.46
  6. Step 6: Final answer
    x = 266,897.37

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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.