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Finding the Fourth Proportional to 415,819.92, 623,797.20 and 162,963.33

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Solution

The fourth proportional to 415,819.92, 623,797.20 and 162,963.33 is: 244,471.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,819.92 : 623,797.20 = 162,963.33 : x
  2. Step 2: Convert to fraction form
    415,819.92/623,797.20 = 162,963.33/x
  3. Step 3: Cross multiply
    415,819.92x = 623,797.20 × 162,963.33
  4. Step 4: Simplify right side
    415,819.92x = 101,656,068,956.68
  5. Step 5: Solve for x
    x = 101,656,068,956.68/415,819.92
  6. Step 6: Final answer
    x = 244,471.38

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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.