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Finding the Fourth Proportional to 297,459.48, 410,491.18 and 161,490.48

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Solution

The fourth proportional to 297,459.48, 410,491.18 and 161,490.48 is: 222,855.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,459.48 : 410,491.18 = 161,490.48 : x
  2. Step 2: Convert to fraction form
    297,459.48/410,491.18 = 161,490.48/x
  3. Step 3: Cross multiply
    297,459.48x = 410,491.18 × 161,490.48
  4. Step 4: Simplify right side
    297,459.48x = 66,290,417,693.97
  5. Step 5: Solve for x
    x = 66,290,417,693.97/297,459.48
  6. Step 6: Final answer
    x = 222,855.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.