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Finding the Fourth Proportional to 392,040, 541,019.52 and 213,192

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Solution

The fourth proportional to 392,040, 541,019.52 and 213,192 is: 294,207.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,040 : 541,019.52 = 213,192 : x
  2. Step 2: Convert to fraction form
    392,040/541,019.52 = 213,192/x
  3. Step 3: Cross multiply
    392,040x = 541,019.52 × 213,192
  4. Step 4: Simplify right side
    392,040x = 115,341,033,507.84
  5. Step 5: Solve for x
    x = 115,341,033,507.84/392,040
  6. Step 6: Final answer
    x = 294,207.31

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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.