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Finding the Fourth Proportional to 298,504.89, 411,915.92 and 169,445.97

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Solution

The fourth proportional to 298,504.89, 411,915.92 and 169,445.97 is: 233,823.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,504.89 : 411,915.92 = 169,445.97 : x
  2. Step 2: Convert to fraction form
    298,504.89/411,915.92 = 169,445.97/x
  3. Step 3: Cross multiply
    298,504.89x = 411,915.92 × 169,445.97
  4. Step 4: Simplify right side
    298,504.89x = 69,797,491,775.61
  5. Step 5: Solve for x
    x = 69,797,491,775.61/298,504.89
  6. Step 6: Final answer
    x = 233,823.61

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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.