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Finding the Fourth Proportional to 297,407.91, 410,410.83 and 161,436.66

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Solution

The fourth proportional to 297,407.91, 410,410.83 and 161,436.66 is: 222,776.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,407.91 : 410,410.83 = 161,436.66 : x
  2. Step 2: Convert to fraction form
    297,407.91/410,410.83 = 161,436.66/x
  3. Step 3: Cross multiply
    297,407.91x = 410,410.83 × 161,436.66
  4. Step 4: Simplify right side
    297,407.91x = 66,255,353,623.03
  5. Step 5: Solve for x
    x = 66,255,353,623.03/297,407.91
  6. Step 6: Final answer
    x = 222,776.03

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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.