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Finding the Fourth Proportional to 312,477.68, 431,217.05 and 169,234.44

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Solution

The fourth proportional to 312,477.68, 431,217.05 and 169,234.44 is: 233,542.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,477.68 : 431,217.05 = 169,234.44 : x
  2. Step 2: Convert to fraction form
    312,477.68/431,217.05 = 169,234.44/x
  3. Step 3: Cross multiply
    312,477.68x = 431,217.05 × 169,234.44
  4. Step 4: Simplify right side
    312,477.68x = 72,976,775,129.03
  5. Step 5: Solve for x
    x = 72,976,775,129.03/312,477.68
  6. Step 6: Final answer
    x = 233,542.36

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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.