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Finding the Fourth Proportional to 297,471.86, 410,508.90 and 161,503.13

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Solution

The fourth proportional to 297,471.86, 410,508.90 and 161,503.13 is: 222,873.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,471.86 : 410,508.90 = 161,503.13 : x
  2. Step 2: Convert to fraction form
    297,471.86/410,508.90 = 161,503.13/x
  3. Step 3: Cross multiply
    297,471.86x = 410,508.90 × 161,503.13
  4. Step 4: Simplify right side
    297,471.86x = 66,298,472,242.86
  5. Step 5: Solve for x
    x = 66,298,472,242.86/297,471.86
  6. Step 6: Final answer
    x = 222,873.09

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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.