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Finding the Fourth Proportional to 482,804.92, 724,164.84 and 216,493.96

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Solution

The fourth proportional to 482,804.92, 724,164.84 and 216,493.96 is: 324,721.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,804.92 : 724,164.84 = 216,493.96 : x
  2. Step 2: Convert to fraction form
    482,804.92/724,164.84 = 216,493.96/x
  3. Step 3: Cross multiply
    482,804.92x = 724,164.84 × 216,493.96
  4. Step 4: Simplify right side
    482,804.92x = 156,777,313,904.37
  5. Step 5: Solve for x
    x = 156,777,313,904.37/482,804.92
  6. Step 6: Final answer
    x = 324,721.86

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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.