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Finding the Fourth Proportional to 400,704.13, 600,102.10 and 231,868.64

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Solution

The fourth proportional to 400,704.13, 600,102.10 and 231,868.64 is: 347,250.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,704.13 : 600,102.10 = 231,868.64 : x
  2. Step 2: Convert to fraction form
    400,704.13/600,102.10 = 231,868.64/x
  3. Step 3: Cross multiply
    400,704.13x = 600,102.10 × 231,868.64
  4. Step 4: Simplify right side
    400,704.13x = 139,144,859,578.24
  5. Step 5: Solve for x
    x = 139,144,859,578.24/400,704.13
  6. Step 6: Final answer
    x = 347,250.87

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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.