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Finding the Fourth Proportional to 297,633.49, 410,738.65 and 161,670.08

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Solution

The fourth proportional to 297,633.49, 410,738.65 and 161,670.08 is: 223,107.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,633.49 : 410,738.65 = 161,670.08 : x
  2. Step 2: Convert to fraction form
    297,633.49/410,738.65 = 161,670.08/x
  3. Step 3: Cross multiply
    297,633.49x = 410,738.65 × 161,670.08
  4. Step 4: Simplify right side
    297,633.49x = 66,404,148,716.86
  5. Step 5: Solve for x
    x = 66,404,148,716.86/297,633.49
  6. Step 6: Final answer
    x = 223,107.11

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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.