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Finding the Fourth Proportional to 392,020.38, 541,292.85 and 301,233.24

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Solution

The fourth proportional to 392,020.38, 541,292.85 and 301,233.24 is: 415,936.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,020.38 : 541,292.85 = 301,233.24 : x
  2. Step 2: Convert to fraction form
    392,020.38/541,292.85 = 301,233.24/x
  3. Step 3: Cross multiply
    392,020.38x = 541,292.85 × 301,233.24
  4. Step 4: Simplify right side
    392,020.38x = 163,055,398,994.33
  5. Step 5: Solve for x
    x = 163,055,398,994.33/392,020.38
  6. Step 6: Final answer
    x = 415,936.03

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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.