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Finding the Fourth Proportional to 298,446.28, 411,858.36 and 162,481.17

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Solution

The fourth proportional to 298,446.28, 411,858.36 and 162,481.17 is: 224,225.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,446.28 : 411,858.36 = 162,481.17 : x
  2. Step 2: Convert to fraction form
    298,446.28/411,858.36 = 162,481.17/x
  3. Step 3: Cross multiply
    298,446.28x = 411,858.36 × 162,481.17
  4. Step 4: Simplify right side
    298,446.28x = 66,919,227,597.78
  5. Step 5: Solve for x
    x = 66,919,227,597.78/298,446.28
  6. Step 6: Final answer
    x = 224,225.37

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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.