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Finding the Fourth Proportional to 312,542.69, 431,310.99 and 169,302.74

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Solution

The fourth proportional to 312,542.69, 431,310.99 and 169,302.74 is: 233,638.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,542.69 : 431,310.99 = 169,302.74 : x
  2. Step 2: Convert to fraction form
    312,542.69/431,310.99 = 169,302.74/x
  3. Step 3: Cross multiply
    312,542.69x = 431,310.99 × 169,302.74
  4. Step 4: Simplify right side
    312,542.69x = 73,022,132,399.11
  5. Step 5: Solve for x
    x = 73,022,132,399.11/312,542.69
  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.