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Finding the Fourth Proportional to 320,689.42, 442,532.96 and 177,442.27

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Solution

The fourth proportional to 320,689.42, 442,532.96 and 177,442.27 is: 244,860.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,689.42 : 442,532.96 = 177,442.27 : x
  2. Step 2: Convert to fraction form
    320,689.42/442,532.96 = 177,442.27/x
  3. Step 3: Cross multiply
    320,689.42x = 442,532.96 × 177,442.27
  4. Step 4: Simplify right side
    320,689.42x = 78,524,052,972.22
  5. Step 5: Solve for x
    x = 78,524,052,972.22/320,689.42
  6. Step 6: Final answer
    x = 244,860.13

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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.