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Finding the Fourth Proportional to 262,874.45, 394,328.12 and 178,598.41

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Solution

The fourth proportional to 262,874.45, 394,328.12 and 178,598.41 is: 267,908.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,874.45 : 394,328.12 = 178,598.41 : x
  2. Step 2: Convert to fraction form
    262,874.45/394,328.12 = 178,598.41/x
  3. Step 3: Cross multiply
    262,874.45x = 394,328.12 × 178,598.41
  4. Step 4: Simplify right side
    262,874.45x = 70,426,373,371.48
  5. Step 5: Solve for x
    x = 70,426,373,371.48/262,874.45
  6. Step 6: Final answer
    x = 267,908.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.