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Finding the Fourth Proportional to 299,225.37, 412,874.50 and 178,377.90

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Solution

The fourth proportional to 299,225.37, 412,874.50 and 178,377.90 is: 246,127.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,225.37 : 412,874.50 = 178,377.90 : x
  2. Step 2: Convert to fraction form
    299,225.37/412,874.50 = 178,377.90/x
  3. Step 3: Cross multiply
    299,225.37x = 412,874.50 × 178,377.90
  4. Step 4: Simplify right side
    299,225.37x = 73,647,686,273.55
  5. Step 5: Solve for x
    x = 73,647,686,273.55/299,225.37
  6. Step 6: Final answer
    x = 246,127.81

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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.