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Finding the Fourth Proportional to 338,198.10, 507,056.82 and 169,596.78

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Solution

The fourth proportional to 338,198.10, 507,056.82 and 169,596.78 is: 254,274.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,198.10 : 507,056.82 = 169,596.78 : x
  2. Step 2: Convert to fraction form
    338,198.10/507,056.82 = 169,596.78/x
  3. Step 3: Cross multiply
    338,198.10x = 507,056.82 × 169,596.78
  4. Step 4: Simplify right side
    338,198.10x = 85,995,203,949.04
  5. Step 5: Solve for x
    x = 85,995,203,949.04/338,198.10
  6. Step 6: Final answer
    x = 254,274.65

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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.