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Finding the Fourth Proportional to 274,568.24, 411,863.88 and 97,076.72

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Solution

The fourth proportional to 274,568.24, 411,863.88 and 97,076.72 is: 145,619.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,568.24 : 411,863.88 = 97,076.72 : x
  2. Step 2: Convert to fraction form
    274,568.24/411,863.88 = 97,076.72/x
  3. Step 3: Cross multiply
    274,568.24x = 411,863.88 × 97,076.72
  4. Step 4: Simplify right side
    274,568.24x = 39,982,394,556.87
  5. Step 5: Solve for x
    x = 39,982,394,556.87/274,568.24
  6. Step 6: Final answer
    x = 145,619.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.