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Finding the Fourth Proportional to 307,231.38, 423,945.09 and 171,255.06

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Solution

The fourth proportional to 307,231.38, 423,945.09 and 171,255.06 is: 236,312.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,231.38 : 423,945.09 = 171,255.06 : x
  2. Step 2: Convert to fraction form
    307,231.38/423,945.09 = 171,255.06/x
  3. Step 3: Cross multiply
    307,231.38x = 423,945.09 × 171,255.06
  4. Step 4: Simplify right side
    307,231.38x = 72,602,741,824.66
  5. Step 5: Solve for x
    x = 72,602,741,824.66/307,231.38
  6. Step 6: Final answer
    x = 236,312.91

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Why These Related Problems?

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