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Finding the Fourth Proportional to 413,768.11, 620,640.67 and 110,164.87

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Solution

The fourth proportional to 413,768.11, 620,640.67 and 110,164.87 is: 165,244.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,768.11 : 620,640.67 = 110,164.87 : x
  2. Step 2: Convert to fraction form
    413,768.11/620,640.67 = 110,164.87/x
  3. Step 3: Cross multiply
    413,768.11x = 620,640.67 × 110,164.87
  4. Step 4: Simplify right side
    413,768.11x = 68,372,798,727.26
  5. Step 5: Solve for x
    x = 68,372,798,727.26/413,768.11
  6. Step 6: Final answer
    x = 165,244.24

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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.