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Finding the Fourth Proportional to 391,863.30, 587,783.61 and 233,028.78

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Solution

The fourth proportional to 391,863.30, 587,783.61 and 233,028.78 is: 349,536.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,863.30 : 587,783.61 = 233,028.78 : x
  2. Step 2: Convert to fraction form
    391,863.30/587,783.61 = 233,028.78/x
  3. Step 3: Cross multiply
    391,863.30x = 587,783.61 × 233,028.78
  4. Step 4: Simplify right side
    391,863.30x = 136,970,497,542.30
  5. Step 5: Solve for x
    x = 136,970,497,542.30/391,863.30
  6. Step 6: Final answer
    x = 349,536.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.