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Finding the Fourth Proportional to 541,610.25, 747,361.77 and 299,832.27

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Solution

The fourth proportional to 541,610.25, 747,361.77 and 299,832.27 is: 413,735.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,610.25 : 747,361.77 = 299,832.27 : x
  2. Step 2: Convert to fraction form
    541,610.25/747,361.77 = 299,832.27/x
  3. Step 3: Cross multiply
    541,610.25x = 747,361.77 × 299,832.27
  4. Step 4: Simplify right side
    541,610.25x = 224,083,176,010.32
  5. Step 5: Solve for x
    x = 224,083,176,010.32/541,610.25
  6. Step 6: Final answer
    x = 413,735.11

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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.