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Finding the Fourth Proportional to 297,243.86, 410,195.96 and 161,277.77

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Solution

The fourth proportional to 297,243.86, 410,195.96 and 161,277.77 is: 222,563.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,243.86 : 410,195.96 = 161,277.77 : x
  2. Step 2: Convert to fraction form
    297,243.86/410,195.96 = 161,277.77/x
  3. Step 3: Cross multiply
    297,243.86x = 410,195.96 × 161,277.77
  4. Step 4: Simplify right side
    297,243.86x = 66,155,491,521.79
  5. Step 5: Solve for x
    x = 66,155,491,521.79/297,243.86
  6. Step 6: Final answer
    x = 222,563.02

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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.