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Finding the Fourth Proportional to 414,476.40, 622,021.80 and 274,188.40

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Solution

The fourth proportional to 414,476.40, 622,021.80 and 274,188.40 is: 411,485.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,476.40 : 622,021.80 = 274,188.40 : x
  2. Step 2: Convert to fraction form
    414,476.40/622,021.80 = 274,188.40/x
  3. Step 3: Cross multiply
    414,476.40x = 622,021.80 × 274,188.40
  4. Step 4: Simplify right side
    414,476.40x = 170,551,162,107.12
  5. Step 5: Solve for x
    x = 170,551,162,107.12/414,476.40
  6. Step 6: Final answer
    x = 411,485.82

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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.