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Finding the Fourth Proportional to 263,213.80, 394,496.70 and 178,973.80

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Solution

The fourth proportional to 263,213.80, 394,496.70 and 178,973.80 is: 268,240.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,213.80 : 394,496.70 = 178,973.80 : x
  2. Step 2: Convert to fraction form
    263,213.80/394,496.70 = 178,973.80/x
  3. Step 3: Cross multiply
    263,213.80x = 394,496.70 × 178,973.80
  4. Step 4: Simplify right side
    263,213.80x = 70,604,573,486.46
  5. Step 5: Solve for x
    x = 70,604,573,486.46/263,213.80
  6. Step 6: Final answer
    x = 268,240.39

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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.