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Finding the Fourth Proportional to 414,797.30, 622,437.43 and 174,896.16

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Solution

The fourth proportional to 414,797.30, 622,437.43 and 174,896.16 is: 262,446.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,797.30 : 622,437.43 = 174,896.16 : x
  2. Step 2: Convert to fraction form
    414,797.30/622,437.43 = 174,896.16/x
  3. Step 3: Cross multiply
    414,797.30x = 622,437.43 × 174,896.16
  4. Step 4: Simplify right side
    414,797.30x = 108,861,916,347.27
  5. Step 5: Solve for x
    x = 108,861,916,347.27/414,797.30
  6. Step 6: Final answer
    x = 262,446.06

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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.