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Finding the Fourth Proportional to 322,076.40, 482,531.40 and 275,420.40

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Solution

The fourth proportional to 322,076.40, 482,531.40 and 275,420.40 is: 412,631.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,076.40 : 482,531.40 = 275,420.40 : x
  2. Step 2: Convert to fraction form
    322,076.40/482,531.40 = 275,420.40/x
  3. Step 3: Cross multiply
    322,076.40x = 482,531.40 × 275,420.40
  4. Step 4: Simplify right side
    322,076.40x = 132,898,991,200.56
  5. Step 5: Solve for x
    x = 132,898,991,200.56/322,076.40
  6. Step 6: Final answer
    x = 412,631.88

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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.