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Finding the Fourth Proportional to 312,562.26, 431,335.26 and 169,325.82

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Solution

The fourth proportional to 312,562.26, 431,335.26 and 169,325.82 is: 233,669.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,562.26 : 431,335.26 = 169,325.82 : x
  2. Step 2: Convert to fraction form
    312,562.26/431,335.26 = 169,325.82/x
  3. Step 3: Cross multiply
    312,562.26x = 431,335.26 × 169,325.82
  4. Step 4: Simplify right side
    312,562.26x = 73,036,196,594.41
  5. Step 5: Solve for x
    x = 73,036,196,594.41/312,562.26
  6. Step 6: Final answer
    x = 233,669.27

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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.