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Finding the Fourth Proportional to 298,223.83, 411,553.10 and 162,257.87

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Solution

The fourth proportional to 298,223.83, 411,553.10 and 162,257.87 is: 223,918.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,223.83 : 411,553.10 = 162,257.87 : x
  2. Step 2: Convert to fraction form
    298,223.83/411,553.10 = 162,257.87/x
  3. Step 3: Cross multiply
    298,223.83x = 411,553.10 × 162,257.87
  4. Step 4: Simplify right side
    298,223.83x = 66,777,728,517.44
  5. Step 5: Solve for x
    x = 66,777,728,517.44/298,223.83
  6. Step 6: Final answer
    x = 223,918.15

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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.