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Finding the Fourth Proportional to 297,491.32, 410,542.92 and 161,525.24

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Solution

The fourth proportional to 297,491.32, 410,542.92 and 161,525.24 is: 222,907.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,491.32 : 410,542.92 = 161,525.24 : x
  2. Step 2: Convert to fraction form
    297,491.32/410,542.92 = 161,525.24/x
  3. Step 3: Cross multiply
    297,491.32x = 410,542.92 × 161,525.24
  4. Step 4: Simplify right side
    297,491.32x = 66,313,043,683.30
  5. Step 5: Solve for x
    x = 66,313,043,683.30/297,491.32
  6. Step 6: Final answer
    x = 222,907.49

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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.