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Finding the Fourth Proportional to 414,671.52, 622,182.24 and 204,311.52

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Solution

The fourth proportional to 414,671.52, 622,182.24 and 204,311.52 is: 306,553.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,671.52 : 622,182.24 = 204,311.52 : x
  2. Step 2: Convert to fraction form
    414,671.52/622,182.24 = 204,311.52/x
  3. Step 3: Cross multiply
    414,671.52x = 622,182.24 × 204,311.52
  4. Step 4: Simplify right side
    414,671.52x = 127,118,999,171.41
  5. Step 5: Solve for x
    x = 127,118,999,171.41/414,671.52
  6. Step 6: Final answer
    x = 306,553.48

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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.