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Finding the Fourth Proportional to 297,459.33, 410,493.87 and 161,493.27

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Solution

The fourth proportional to 297,459.33, 410,493.87 and 161,493.27 is: 222,860.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,459.33 : 410,493.87 = 161,493.27 : x
  2. Step 2: Convert to fraction form
    297,459.33/410,493.87 = 161,493.27/x
  3. Step 3: Cross multiply
    297,459.33x = 410,493.87 × 161,493.27
  4. Step 4: Simplify right side
    297,459.33x = 66,291,997,381.25
  5. Step 5: Solve for x
    x = 66,291,997,381.25/297,459.33
  6. Step 6: Final answer
    x = 222,860.71

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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.