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Finding the Fourth Proportional to 461,873.22, 637,163.87 and 289,704.97

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Solution

The fourth proportional to 461,873.22, 637,163.87 and 289,704.97 is: 399,654.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,873.22 : 637,163.87 = 289,704.97 : x
  2. Step 2: Convert to fraction form
    461,873.22/637,163.87 = 289,704.97/x
  3. Step 3: Cross multiply
    461,873.22x = 637,163.87 × 289,704.97
  4. Step 4: Simplify right side
    461,873.22x = 184,589,539,843.43
  5. Step 5: Solve for x
    x = 184,589,539,843.43/461,873.22
  6. Step 6: Final answer
    x = 399,654.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.