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Finding the Fourth Proportional to 461,174.47, 687,176.96 and 410,868

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Solution

The fourth proportional to 461,174.47, 687,176.96 and 410,868 is: 612,217.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,174.47 : 687,176.96 = 410,868 : x
  2. Step 2: Convert to fraction form
    461,174.47/687,176.96 = 410,868/x
  3. Step 3: Cross multiply
    461,174.47x = 687,176.96 × 410,868
  4. Step 4: Simplify right side
    461,174.47x = 282,339,023,201.28
  5. Step 5: Solve for x
    x = 282,339,023,201.28/461,174.47
  6. Step 6: Final answer
    x = 612,217.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.