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Finding the Fourth Proportional to 297,426.82, 410,446.14 and 161,457.85

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Solution

The fourth proportional to 297,426.82, 410,446.14 and 161,457.85 is: 222,810.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,426.82 : 410,446.14 = 161,457.85 : x
  2. Step 2: Convert to fraction form
    297,426.82/410,446.14 = 161,457.85/x
  3. Step 3: Cross multiply
    297,426.82x = 410,446.14 × 161,457.85
  4. Step 4: Simplify right side
    297,426.82x = 66,269,751,305.20
  5. Step 5: Solve for x
    x = 66,269,751,305.20/297,426.82
  6. Step 6: Final answer
    x = 222,810.27

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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.