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Finding the Fourth Proportional to 308,399.44, 462,284.04 and 174,997.92

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Solution

The fourth proportional to 308,399.44, 462,284.04 and 174,997.92 is: 262,318.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,399.44 : 462,284.04 = 174,997.92 : x
  2. Step 2: Convert to fraction form
    308,399.44/462,284.04 = 174,997.92/x
  3. Step 3: Cross multiply
    308,399.44x = 462,284.04 × 174,997.92
  4. Step 4: Simplify right side
    308,399.44x = 80,898,745,449.20
  5. Step 5: Solve for x
    x = 80,898,745,449.20/308,399.44
  6. Step 6: Final answer
    x = 262,318.07

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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.