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Finding the Fourth Proportional to 393,034.35, 541,838.19 and 332,361.57

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Solution

The fourth proportional to 393,034.35, 541,838.19 and 332,361.57 is: 458,194.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,034.35 : 541,838.19 = 332,361.57 : x
  2. Step 2: Convert to fraction form
    393,034.35/541,838.19 = 332,361.57/x
  3. Step 3: Cross multiply
    393,034.35x = 541,838.19 × 332,361.57
  4. Step 4: Simplify right side
    393,034.35x = 180,086,191,514.36
  5. Step 5: Solve for x
    x = 180,086,191,514.36/393,034.35
  6. Step 6: Final answer
    x = 458,194.54

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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.