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Finding the Fourth Proportional to 494,704.80, 742,057.20 and 120,727.80

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Solution

The fourth proportional to 494,704.80, 742,057.20 and 120,727.80 is: 181,091.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,704.80 : 742,057.20 = 120,727.80 : x
  2. Step 2: Convert to fraction form
    494,704.80/742,057.20 = 120,727.80/x
  3. Step 3: Cross multiply
    494,704.80x = 742,057.20 × 120,727.80
  4. Step 4: Simplify right side
    494,704.80x = 89,586,933,230.16
  5. Step 5: Solve for x
    x = 89,586,933,230.16/494,704.80
  6. Step 6: Final answer
    x = 181,091.70

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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.