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Finding the Fourth Proportional to 413,516.10, 620,274.15 and 164,198.10

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Solution

The fourth proportional to 413,516.10, 620,274.15 and 164,198.10 is: 246,297.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,516.10 : 620,274.15 = 164,198.10 : x
  2. Step 2: Convert to fraction form
    413,516.10/620,274.15 = 164,198.10/x
  3. Step 3: Cross multiply
    413,516.10x = 620,274.15 × 164,198.10
  4. Step 4: Simplify right side
    413,516.10x = 101,847,836,909.12
  5. Step 5: Solve for x
    x = 101,847,836,909.12/413,516.10
  6. Step 6: Final answer
    x = 246,297.15

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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.