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Finding the Fourth Proportional to 394,624.31, 591,752.41 and 205,033.70

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Solution

The fourth proportional to 394,624.31, 591,752.41 and 205,033.70 is: 307,454.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,624.31 : 591,752.41 = 205,033.70 : x
  2. Step 2: Convert to fraction form
    394,624.31/591,752.41 = 205,033.70/x
  3. Step 3: Cross multiply
    394,624.31x = 591,752.41 × 205,033.70
  4. Step 4: Simplify right side
    394,624.31x = 121,329,187,073.01
  5. Step 5: Solve for x
    x = 121,329,187,073.01/394,624.31
  6. Step 6: Final answer
    x = 307,454.93

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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.