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Finding the Fourth Proportional to 394,738.02, 544,738.05 and 213,449.49

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Solution

The fourth proportional to 394,738.02, 544,738.05 and 213,449.49 is: 294,560.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,738.02 : 544,738.05 = 213,449.49 : x
  2. Step 2: Convert to fraction form
    394,738.02/544,738.05 = 213,449.49/x
  3. Step 3: Cross multiply
    394,738.02x = 544,738.05 × 213,449.49
  4. Step 4: Simplify right side
    394,738.02x = 116,274,058,956.10
  5. Step 5: Solve for x
    x = 116,274,058,956.10/394,738.02
  6. Step 6: Final answer
    x = 294,560.07

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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.