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Finding the Fourth Proportional to 392,356.82, 541,433.94 and 217,938.33

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Solution

The fourth proportional to 392,356.82, 541,433.94 and 217,938.33 is: 300,744.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,356.82 : 541,433.94 = 217,938.33 : x
  2. Step 2: Convert to fraction form
    392,356.82/541,433.94 = 217,938.33/x
  3. Step 3: Cross multiply
    392,356.82x = 541,433.94 × 217,938.33
  4. Step 4: Simplify right side
    392,356.82x = 117,999,208,688.92
  5. Step 5: Solve for x
    x = 117,999,208,688.92/392,356.82
  6. Step 6: Final answer
    x = 300,744.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.