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Finding the Fourth Proportional to 312,542.70, 431,310.99 and 169,302.75

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Solution

The fourth proportional to 312,542.70, 431,310.99 and 169,302.75 is: 233,638.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,542.70 : 431,310.99 = 169,302.75 : x
  2. Step 2: Convert to fraction form
    312,542.70/431,310.99 = 169,302.75/x
  3. Step 3: Cross multiply
    312,542.70x = 431,310.99 × 169,302.75
  4. Step 4: Simplify right side
    312,542.70x = 73,022,136,712.22
  5. Step 5: Solve for x
    x = 73,022,136,712.22/312,542.70
  6. Step 6: Final answer
    x = 233,638.91

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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.