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Finding the Fourth Proportional to 394,470.56, 591,853.45 and 204,812.56

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Solution

The fourth proportional to 394,470.56, 591,853.45 and 204,812.56 is: 307,295.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,470.56 : 591,853.45 = 204,812.56 : x
  2. Step 2: Convert to fraction form
    394,470.56/591,853.45 = 204,812.56/x
  3. Step 3: Cross multiply
    394,470.56x = 591,853.45 × 204,812.56
  4. Step 4: Simplify right side
    394,470.56x = 121,219,018,247.67
  5. Step 5: Solve for x
    x = 121,219,018,247.67/394,470.56
  6. Step 6: Final answer
    x = 307,295.47

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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.