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Finding the Fourth Proportional to 539,198.46, 808,141.77 and 381,472.38

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Solution

The fourth proportional to 539,198.46, 808,141.77 and 381,472.38 is: 571,744.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,198.46 : 808,141.77 = 381,472.38 : x
  2. Step 2: Convert to fraction form
    539,198.46/808,141.77 = 381,472.38/x
  3. Step 3: Cross multiply
    539,198.46x = 808,141.77 × 381,472.38
  4. Step 4: Simplify right side
    539,198.46x = 308,283,764,379.31
  5. Step 5: Solve for x
    x = 308,283,764,379.31/539,198.46
  6. Step 6: Final answer
    x = 571,744.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.