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Finding the Fourth Proportional to 482,805.92, 724,166.34 and 216,494.96

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Solution

The fourth proportional to 482,805.92, 724,166.34 and 216,494.96 is: 324,723.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,805.92 : 724,166.34 = 216,494.96 : x
  2. Step 2: Convert to fraction form
    482,805.92/724,166.34 = 216,494.96/x
  3. Step 3: Cross multiply
    482,805.92x = 724,166.34 × 216,494.96
  4. Step 4: Simplify right side
    482,805.92x = 156,778,362,811.65
  5. Step 5: Solve for x
    x = 156,778,362,811.65/482,805.92
  6. Step 6: Final answer
    x = 324,723.36

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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.