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Finding the Fourth Proportional to 534,451.76, 737,338.22 and 305,021.80

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Solution

The fourth proportional to 534,451.76, 737,338.22 and 305,021.80 is: 420,812.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,451.76 : 737,338.22 = 305,021.80 : x
  2. Step 2: Convert to fraction form
    534,451.76/737,338.22 = 305,021.80/x
  3. Step 3: Cross multiply
    534,451.76x = 737,338.22 × 305,021.80
  4. Step 4: Simplify right side
    534,451.76x = 224,904,231,073.20
  5. Step 5: Solve for x
    x = 224,904,231,073.20/534,451.76
  6. Step 6: Final answer
    x = 420,812.97

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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.