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Finding the Fourth Proportional to 414,546.40, 622,280.40 and 256,952.80

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Solution

The fourth proportional to 414,546.40, 622,280.40 and 256,952.80 is: 385,714.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,546.40 : 622,280.40 = 256,952.80 : x
  2. Step 2: Convert to fraction form
    414,546.40/622,280.40 = 256,952.80/x
  3. Step 3: Cross multiply
    414,546.40x = 622,280.40 × 256,952.80
  4. Step 4: Simplify right side
    414,546.40x = 159,896,691,165.12
  5. Step 5: Solve for x
    x = 159,896,691,165.12/414,546.40
  6. Step 6: Final answer
    x = 385,714.82

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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.