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Finding the Fourth Proportional to 297,992.25, 411,229.31 and 163,856.25

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Solution

The fourth proportional to 297,992.25, 411,229.31 and 163,856.25 is: 226,121.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,992.25 : 411,229.31 = 163,856.25 : x
  2. Step 2: Convert to fraction form
    297,992.25/411,229.31 = 163,856.25/x
  3. Step 3: Cross multiply
    297,992.25x = 411,229.31 × 163,856.25
  4. Step 4: Simplify right side
    297,992.25x = 67,382,491,807.41
  5. Step 5: Solve for x
    x = 67,382,491,807.41/297,992.25
  6. Step 6: Final answer
    x = 226,121.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.