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Finding the Fourth Proportional to 322,098.40, 482,564.40 and 275,442.40

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Solution

The fourth proportional to 322,098.40, 482,564.40 and 275,442.40 is: 412,664.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,098.40 : 482,564.40 = 275,442.40 : x
  2. Step 2: Convert to fraction form
    322,098.40/482,564.40 = 275,442.40/x
  3. Step 3: Cross multiply
    322,098.40x = 482,564.40 × 275,442.40
  4. Step 4: Simplify right side
    322,098.40x = 132,918,696,490.56
  5. Step 5: Solve for x
    x = 132,918,696,490.56/322,098.40
  6. Step 6: Final answer
    x = 412,664.88

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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.