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Finding the Fourth Proportional to 298,398.36, 411,794.97 and 162,436.20

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Solution

The fourth proportional to 298,398.36, 411,794.97 and 162,436.20 is: 224,164.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,398.36 : 411,794.97 = 162,436.20 : x
  2. Step 2: Convert to fraction form
    298,398.36/411,794.97 = 162,436.20/x
  3. Step 3: Cross multiply
    298,398.36x = 411,794.97 × 162,436.20
  4. Step 4: Simplify right side
    298,398.36x = 66,890,410,105.91
  5. Step 5: Solve for x
    x = 66,890,410,105.91/298,398.36
  6. Step 6: Final answer
    x = 224,164.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.