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Finding the Fourth Proportional to 320,977.41, 442,948.73 and 177,737.42

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Solution

The fourth proportional to 320,977.41, 442,948.73 and 177,737.42 is: 245,277.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,977.41 : 442,948.73 = 177,737.42 : x
  2. Step 2: Convert to fraction form
    320,977.41/442,948.73 = 177,737.42/x
  3. Step 3: Cross multiply
    320,977.41x = 442,948.73 × 177,737.42
  4. Step 4: Simplify right side
    320,977.41x = 78,728,561,359.05
  5. Step 5: Solve for x
    x = 78,728,561,359.05/320,977.41
  6. Step 6: Final answer
    x = 245,277.58

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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.