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Finding the Fourth Proportional to 297,004.68, 409,864.70 and 161,037.26

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Solution

The fourth proportional to 297,004.68, 409,864.70 and 161,037.26 is: 222,230.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,004.68 : 409,864.70 = 161,037.26 : x
  2. Step 2: Convert to fraction form
    297,004.68/409,864.70 = 161,037.26/x
  3. Step 3: Cross multiply
    297,004.68x = 409,864.70 × 161,037.26
  4. Step 4: Simplify right side
    297,004.68x = 66,003,488,258.72
  5. Step 5: Solve for x
    x = 66,003,488,258.72/297,004.68
  6. Step 6: Final answer
    x = 222,230.47

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