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Finding the Fourth Proportional to 297,438.56, 410,466.31 and 161,472.77

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Solution

The fourth proportional to 297,438.56, 410,466.31 and 161,472.77 is: 222,833.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,438.56 : 410,466.31 = 161,472.77 : x
  2. Step 2: Convert to fraction form
    297,438.56/410,466.31 = 161,472.77/x
  3. Step 3: Cross multiply
    297,438.56x = 410,466.31 × 161,472.77
  4. Step 4: Simplify right side
    297,438.56x = 66,279,129,611.37
  5. Step 5: Solve for x
    x = 66,279,129,611.37/297,438.56
  6. Step 6: Final answer
    x = 222,833.01

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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.