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Finding the Fourth Proportional to 461,183.66, 691,858.65 and 208,583.54

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Solution

The fourth proportional to 461,183.66, 691,858.65 and 208,583.54 is: 312,912.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,183.66 : 691,858.65 = 208,583.54 : x
  2. Step 2: Convert to fraction form
    461,183.66/691,858.65 = 208,583.54/x
  3. Step 3: Cross multiply
    461,183.66x = 691,858.65 × 208,583.54
  4. Step 4: Simplify right side
    461,183.66x = 144,310,322,937.33
  5. Step 5: Solve for x
    x = 144,310,322,937.33/461,183.66
  6. Step 6: Final answer
    x = 312,912.92

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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.