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Finding the Fourth Proportional to 414,512.90, 622,230.15 and 256,919.30

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Solution

The fourth proportional to 414,512.90, 622,230.15 and 256,919.30 is: 385,664.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,512.90 : 622,230.15 = 256,919.30 : x
  2. Step 2: Convert to fraction form
    414,512.90/622,230.15 = 256,919.30/x
  3. Step 3: Cross multiply
    414,512.90x = 622,230.15 × 256,919.30
  4. Step 4: Simplify right side
    414,512.90x = 159,862,934,576.90
  5. Step 5: Solve for x
    x = 159,862,934,576.90/414,512.90
  6. Step 6: Final answer
    x = 385,664.56

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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.