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Finding the Fourth Proportional to 297,459.52, 410,491.20 and 161,490.46

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Solution

The fourth proportional to 297,459.52, 410,491.20 and 161,490.46 is: 222,855.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,459.52 : 410,491.20 = 161,490.46 : x
  2. Step 2: Convert to fraction form
    297,459.52/410,491.20 = 161,490.46/x
  3. Step 3: Cross multiply
    297,459.52x = 410,491.20 × 161,490.46
  4. Step 4: Simplify right side
    297,459.52x = 66,290,412,713.95
  5. Step 5: Solve for x
    x = 66,290,412,713.95/297,459.52
  6. Step 6: Final answer
    x = 222,855.24

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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.