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Finding the Fourth Proportional to 263,817.60, 394,948.80 and 175,171.20

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Solution

The fourth proportional to 263,817.60, 394,948.80 and 175,171.20 is: 262,240.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,817.60 : 394,948.80 = 175,171.20 : x
  2. Step 2: Convert to fraction form
    263,817.60/394,948.80 = 175,171.20/x
  3. Step 3: Cross multiply
    263,817.60x = 394,948.80 × 175,171.20
  4. Step 4: Simplify right side
    263,817.60x = 69,183,655,234.56
  5. Step 5: Solve for x
    x = 69,183,655,234.56/263,817.60
  6. Step 6: Final answer
    x = 262,240.48

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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.