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Finding the Fourth Proportional to 263,217.80, 394,502.70 and 178,977.80

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Solution

The fourth proportional to 263,217.80, 394,502.70 and 178,977.80 is: 268,246.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,217.80 : 394,502.70 = 178,977.80 : x
  2. Step 2: Convert to fraction form
    263,217.80/394,502.70 = 178,977.80/x
  3. Step 3: Cross multiply
    263,217.80x = 394,502.70 × 178,977.80
  4. Step 4: Simplify right side
    263,217.80x = 70,607,225,340.06
  5. Step 5: Solve for x
    x = 70,607,225,340.06/263,217.80
  6. Step 6: Final answer
    x = 268,246.39

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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.