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Finding the Fourth Proportional to 541,899.86, 747,821.83 and 300,198.09

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Solution

The fourth proportional to 541,899.86, 747,821.83 and 300,198.09 is: 414,273.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,899.86 : 747,821.83 = 300,198.09 : x
  2. Step 2: Convert to fraction form
    541,899.86/747,821.83 = 300,198.09/x
  3. Step 3: Cross multiply
    541,899.86x = 747,821.83 × 300,198.09
  4. Step 4: Simplify right side
    541,899.86x = 224,494,685,026.31
  5. Step 5: Solve for x
    x = 224,494,685,026.31/541,899.86
  6. Step 6: Final answer
    x = 414,273.38

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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.