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Finding the Fourth Proportional to 392,509.44, 541,660.32 and 213,661.44

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Solution

The fourth proportional to 392,509.44, 541,660.32 and 213,661.44 is: 294,851.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,509.44 : 541,660.32 = 213,661.44 : x
  2. Step 2: Convert to fraction form
    392,509.44/541,660.32 = 213,661.44/x
  3. Step 3: Cross multiply
    392,509.44x = 541,660.32 × 213,661.44
  4. Step 4: Simplify right side
    392,509.44x = 115,731,923,962.06
  5. Step 5: Solve for x
    x = 115,731,923,962.06/392,509.44
  6. Step 6: Final answer
    x = 294,851.31

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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.