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Finding the Fourth Proportional to 577,847.25, 797,432.31 and 323,198.37

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Solution

The fourth proportional to 577,847.25, 797,432.31 and 323,198.37 is: 446,015.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,847.25 : 797,432.31 = 323,198.37 : x
  2. Step 2: Convert to fraction form
    577,847.25/797,432.31 = 323,198.37/x
  3. Step 3: Cross multiply
    577,847.25x = 797,432.31 × 323,198.37
  4. Step 4: Simplify right side
    577,847.25x = 257,728,822,777.34
  5. Step 5: Solve for x
    x = 257,728,822,777.34/577,847.25
  6. Step 6: Final answer
    x = 446,015.49

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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.