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Finding the Fourth Proportional to 431,614.40, 647,608.21 and 231,701.36

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Solution

The fourth proportional to 431,614.40, 647,608.21 and 231,701.36 is: 347,652.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,614.40 : 647,608.21 = 231,701.36 : x
  2. Step 2: Convert to fraction form
    431,614.40/647,608.21 = 231,701.36/x
  3. Step 3: Cross multiply
    431,614.40x = 647,608.21 × 231,701.36
  4. Step 4: Simplify right side
    431,614.40x = 150,051,699,186.87
  5. Step 5: Solve for x
    x = 150,051,699,186.87/431,614.40
  6. Step 6: Final answer
    x = 347,652.21

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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.