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Finding the Fourth Proportional to 322,518.92, 483,819.60 and 106,305.20

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Solution

The fourth proportional to 322,518.92, 483,819.60 and 106,305.20 is: 159,471.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,518.92 : 483,819.60 = 106,305.20 : x
  2. Step 2: Convert to fraction form
    322,518.92/483,819.60 = 106,305.20/x
  3. Step 3: Cross multiply
    322,518.92x = 483,819.60 × 106,305.20
  4. Step 4: Simplify right side
    322,518.92x = 51,432,539,341.92
  5. Step 5: Solve for x
    x = 51,432,539,341.92/322,518.92
  6. Step 6: Final answer
    x = 159,471.39

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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.