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Finding the Fourth Proportional to 297,435.36, 410,446.72 and 161,466.24

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Solution

The fourth proportional to 297,435.36, 410,446.72 and 161,466.24 is: 222,815.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,435.36 : 410,446.72 = 161,466.24 : x
  2. Step 2: Convert to fraction form
    297,435.36/410,446.72 = 161,466.24/x
  3. Step 3: Cross multiply
    297,435.36x = 410,446.72 × 161,466.24
  4. Step 4: Simplify right side
    297,435.36x = 66,273,288,598.73
  5. Step 5: Solve for x
    x = 66,273,288,598.73/297,435.36
  6. Step 6: Final answer
    x = 222,815.77

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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.