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Finding the Fourth Proportional to 296,318.50, 408,922.41 and 162,185.38

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Solution

The fourth proportional to 296,318.50, 408,922.41 and 162,185.38 is: 223,817.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,318.50 : 408,922.41 = 162,185.38 : x
  2. Step 2: Convert to fraction form
    296,318.50/408,922.41 = 162,185.38/x
  3. Step 3: Cross multiply
    296,318.50x = 408,922.41 × 162,185.38
  4. Step 4: Simplify right side
    296,318.50x = 66,321,236,456.37
  5. Step 5: Solve for x
    x = 66,321,236,456.37/296,318.50
  6. Step 6: Final answer
    x = 223,817.40

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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.