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Finding the Fourth Proportional to 312,763.14, 431,615.43 and 169,524.21

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Solution

The fourth proportional to 312,763.14, 431,615.43 and 169,524.21 is: 233,944.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,763.14 : 431,615.43 = 169,524.21 : x
  2. Step 2: Convert to fraction form
    312,763.14/431,615.43 = 169,524.21/x
  3. Step 3: Cross multiply
    312,763.14x = 431,615.43 × 169,524.21
  4. Step 4: Simplify right side
    312,763.14x = 73,169,264,794.56
  5. Step 5: Solve for x
    x = 73,169,264,794.56/312,763.14
  6. Step 6: Final answer
    x = 233,944.65

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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.