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Finding the Fourth Proportional to 414,535.40, 622,167.60 and 245,844.80

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Solution

The fourth proportional to 414,535.40, 622,167.60 and 245,844.80 is: 368,983.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,535.40 : 622,167.60 = 245,844.80 : x
  2. Step 2: Convert to fraction form
    414,535.40/622,167.60 = 245,844.80/x
  3. Step 3: Cross multiply
    414,535.40x = 622,167.60 × 245,844.80
  4. Step 4: Simplify right side
    414,535.40x = 152,956,669,188.48
  5. Step 5: Solve for x
    x = 152,956,669,188.48/414,535.40
  6. Step 6: Final answer
    x = 368,983.37

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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.