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Finding the Fourth Proportional to 308,558.70, 462,871.26 and 98,147.43

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Solution

The fourth proportional to 308,558.70, 462,871.26 and 98,147.43 is: 147,231.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,558.70 : 462,871.26 = 98,147.43 : x
  2. Step 2: Convert to fraction form
    308,558.70/462,871.26 = 98,147.43/x
  3. Step 3: Cross multiply
    308,558.70x = 462,871.26 × 98,147.43
  4. Step 4: Simplify right side
    308,558.70x = 45,429,624,589.86
  5. Step 5: Solve for x
    x = 45,429,624,589.86/308,558.70
  6. Step 6: Final answer
    x = 147,231.71

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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.