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Finding the Fourth Proportional to 297,260.28, 410,212.56 and 161,294.44

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Solution

The fourth proportional to 297,260.28, 410,212.56 and 161,294.44 is: 222,582.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,260.28 : 410,212.56 = 161,294.44 : x
  2. Step 2: Convert to fraction form
    297,260.28/410,212.56 = 161,294.44/x
  3. Step 3: Cross multiply
    297,260.28x = 410,212.56 × 161,294.44
  4. Step 4: Simplify right side
    297,260.28x = 66,165,005,146.17
  5. Step 5: Solve for x
    x = 66,165,005,146.17/297,260.28
  6. Step 6: Final answer
    x = 222,582.73

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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.