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Finding the Fourth Proportional to 298,520.76, 411,952.74 and 162,556.36

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Solution

The fourth proportional to 298,520.76, 411,952.74 and 162,556.36 is: 224,324.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,520.76 : 411,952.74 = 162,556.36 : x
  2. Step 2: Convert to fraction form
    298,520.76/411,952.74 = 162,556.36/x
  3. Step 3: Cross multiply
    298,520.76x = 411,952.74 × 162,556.36
  4. Step 4: Simplify right side
    298,520.76x = 66,965,537,906.43
  5. Step 5: Solve for x
    x = 66,965,537,906.43/298,520.76
  6. Step 6: Final answer
    x = 224,324.56

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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.