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Finding the Fourth Proportional to 347,244.80, 523,469.85 and 324,098.06

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Solution

The fourth proportional to 347,244.80, 523,469.85 and 324,098.06 is: 488,576.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,244.80 : 523,469.85 = 324,098.06 : x
  2. Step 2: Convert to fraction form
    347,244.80/523,469.85 = 324,098.06/x
  3. Step 3: Cross multiply
    347,244.80x = 523,469.85 × 324,098.06
  4. Step 4: Simplify right side
    347,244.80x = 169,655,560,236.14
  5. Step 5: Solve for x
    x = 169,655,560,236.14/347,244.80
  6. Step 6: Final answer
    x = 488,576.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.