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Finding the Fourth Proportional to 297,471.37, 410,508.22 and 161,502.62

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Solution

The fourth proportional to 297,471.37, 410,508.22 and 161,502.62 is: 222,872.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,471.37 : 410,508.22 = 161,502.62 : x
  2. Step 2: Convert to fraction form
    297,471.37/410,508.22 = 161,502.62/x
  3. Step 3: Cross multiply
    297,471.37x = 410,508.22 × 161,502.62
  4. Step 4: Simplify right side
    297,471.37x = 66,298,153,061.54
  5. Step 5: Solve for x
    x = 66,298,153,061.54/297,471.37
  6. Step 6: Final answer
    x = 222,872.38

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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.