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Finding the Fourth Proportional to 414,893.62, 622,022.63 and 130,419.60

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Solution

The fourth proportional to 414,893.62, 622,022.63 and 130,419.60 is: 195,529.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,893.62 : 622,022.63 = 130,419.60 : x
  2. Step 2: Convert to fraction form
    414,893.62/622,022.63 = 130,419.60/x
  3. Step 3: Cross multiply
    414,893.62x = 622,022.63 × 130,419.60
  4. Step 4: Simplify right side
    414,893.62x = 81,123,940,589.01
  5. Step 5: Solve for x
    x = 81,123,940,589.01/414,893.62
  6. Step 6: Final answer
    x = 195,529.50

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1.5x scale

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.