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Finding the Fourth Proportional to 392,738.30, 541,793.45 and 335,987.24

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Solution

The fourth proportional to 392,738.30, 541,793.45 and 335,987.24 is: 463,503.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,738.30 : 541,793.45 = 335,987.24 : x
  2. Step 2: Convert to fraction form
    392,738.30/541,793.45 = 335,987.24/x
  3. Step 3: Cross multiply
    392,738.30x = 541,793.45 × 335,987.24
  4. Step 4: Simplify right side
    392,738.30x = 182,035,684,731.76
  5. Step 5: Solve for x
    x = 182,035,684,731.76/392,738.30
  6. Step 6: Final answer
    x = 463,503.78

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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.