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Finding the Fourth Proportional to 590,517.81, 814,494.67 and 394,185.28

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Solution

The fourth proportional to 590,517.81, 814,494.67 and 394,185.28 is: 543,695.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,517.81 : 814,494.67 = 394,185.28 : x
  2. Step 2: Convert to fraction form
    590,517.81/814,494.67 = 394,185.28/x
  3. Step 3: Cross multiply
    590,517.81x = 814,494.67 × 394,185.28
  4. Step 4: Simplify right side
    590,517.81x = 321,061,809,552.46
  5. Step 5: Solve for x
    x = 321,061,809,552.46/590,517.81
  6. Step 6: Final answer
    x = 543,695.39

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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.