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Finding the Fourth Proportional to 414,496.40, 622,205.40 and 256,902.80

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Solution

The fourth proportional to 414,496.40, 622,205.40 and 256,902.80 is: 385,639.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,496.40 : 622,205.40 = 256,902.80 : x
  2. Step 2: Convert to fraction form
    414,496.40/622,205.40 = 256,902.80/x
  3. Step 3: Cross multiply
    414,496.40x = 622,205.40 × 256,902.80
  4. Step 4: Simplify right side
    414,496.40x = 159,846,309,435.12
  5. Step 5: Solve for x
    x = 159,846,309,435.12/414,496.40
  6. Step 6: Final answer
    x = 385,639.80

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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.