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Finding the Fourth Proportional to 468,183.14, 702,305.86 and 164,540.57

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Solution

The fourth proportional to 468,183.14, 702,305.86 and 164,540.57 is: 246,821.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,183.14 : 702,305.86 = 164,540.57 : x
  2. Step 2: Convert to fraction form
    468,183.14/702,305.86 = 164,540.57/x
  3. Step 3: Cross multiply
    468,183.14x = 702,305.86 × 164,540.57
  4. Step 4: Simplify right side
    468,183.14x = 115,557,806,518.74
  5. Step 5: Solve for x
    x = 115,557,806,518.74/468,183.14
  6. Step 6: Final answer
    x = 246,821.80

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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.