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Finding the Fourth Proportional to 307,013.22, 423,709.38 and 171,069.30

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Solution

The fourth proportional to 307,013.22, 423,709.38 and 171,069.30 is: 236,092.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,013.22 : 423,709.38 = 171,069.30 : x
  2. Step 2: Convert to fraction form
    307,013.22/423,709.38 = 171,069.30/x
  3. Step 3: Cross multiply
    307,013.22x = 423,709.38 × 171,069.30
  4. Step 4: Simplify right side
    307,013.22x = 72,483,667,040.03
  5. Step 5: Solve for x
    x = 72,483,667,040.03/307,013.22
  6. Step 6: Final answer
    x = 236,092.98

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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.