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Finding the Fourth Proportional to 414,964.40, 622,446.60 and 411,027.80

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Solution

The fourth proportional to 414,964.40, 622,446.60 and 411,027.80 is: 616,541.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,964.40 : 622,446.60 = 411,027.80 : x
  2. Step 2: Convert to fraction form
    414,964.40/622,446.60 = 411,027.80/x
  3. Step 3: Cross multiply
    414,964.40x = 622,446.60 × 411,027.80
  4. Step 4: Simplify right side
    414,964.40x = 255,842,856,615.48
  5. Step 5: Solve for x
    x = 255,842,856,615.48/414,964.40
  6. Step 6: Final answer
    x = 616,541.70

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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.