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Finding the Fourth Proportional to 312,448.20, 431,177.86 and 169,207.80

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Solution

The fourth proportional to 312,448.20, 431,177.86 and 169,207.80 is: 233,506.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,448.20 : 431,177.86 = 169,207.80 : x
  2. Step 2: Convert to fraction form
    312,448.20/431,177.86 = 169,207.80/x
  3. Step 3: Cross multiply
    312,448.20x = 431,177.86 × 169,207.80
  4. Step 4: Simplify right side
    312,448.20x = 72,958,657,099.31
  5. Step 5: Solve for x
    x = 72,958,657,099.31/312,448.20
  6. Step 6: Final answer
    x = 233,506.41

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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.