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Finding the Fourth Proportional to 296,002.38, 408,474.99 and 161,863.50

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Solution

The fourth proportional to 296,002.38, 408,474.99 and 161,863.50 is: 223,367.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,002.38 : 408,474.99 = 161,863.50 : x
  2. Step 2: Convert to fraction form
    296,002.38/408,474.99 = 161,863.50/x
  3. Step 3: Cross multiply
    296,002.38x = 408,474.99 × 161,863.50
  4. Step 4: Simplify right side
    296,002.38x = 66,117,191,543.87
  5. Step 5: Solve for x
    x = 66,117,191,543.87/296,002.38
  6. Step 6: Final answer
    x = 223,367.09

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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.