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Finding the Fourth Proportional to 538,469.62, 743,093.10 and 296,761.02

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Solution

The fourth proportional to 538,469.62, 743,093.10 and 296,761.02 is: 409,532.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,469.62 : 743,093.10 = 296,761.02 : x
  2. Step 2: Convert to fraction form
    538,469.62/743,093.10 = 296,761.02/x
  3. Step 3: Cross multiply
    538,469.62x = 743,093.10 × 296,761.02
  4. Step 4: Simplify right side
    538,469.62x = 220,521,066,310.96
  5. Step 5: Solve for x
    x = 220,521,066,310.96/538,469.62
  6. Step 6: Final answer
    x = 409,532.98

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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.