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Finding the Fourth Proportional to 397,778.41, 596,576.49 and 113,463.55

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Solution

The fourth proportional to 397,778.41, 596,576.49 and 113,463.55 is: 170,169.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,778.41 : 596,576.49 = 113,463.55 : x
  2. Step 2: Convert to fraction form
    397,778.41/596,576.49 = 113,463.55/x
  3. Step 3: Cross multiply
    397,778.41x = 596,576.49 × 113,463.55
  4. Step 4: Simplify right side
    397,778.41x = 67,689,686,401.94
  5. Step 5: Solve for x
    x = 67,689,686,401.94/397,778.41
  6. Step 6: Final answer
    x = 170,169.33

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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.