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Finding the Fourth Proportional to 307,213.36, 423,912.59 and 171,231.17

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Solution

The fourth proportional to 307,213.36, 423,912.59 and 171,231.17 is: 236,275.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,213.36 : 423,912.59 = 171,231.17 : x
  2. Step 2: Convert to fraction form
    307,213.36/423,912.59 = 171,231.17/x
  3. Step 3: Cross multiply
    307,213.36x = 423,912.59 × 171,231.17
  4. Step 4: Simplify right side
    307,213.36x = 72,587,046,429.83
  5. Step 5: Solve for x
    x = 72,587,046,429.83/307,213.36
  6. Step 6: Final answer
    x = 236,275.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.