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Finding the Fourth Proportional to 431,307.04, 647,021.04 and 150,760.48

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Solution

The fourth proportional to 431,307.04, 647,021.04 and 150,760.48 is: 226,161.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,307.04 : 647,021.04 = 150,760.48 : x
  2. Step 2: Convert to fraction form
    431,307.04/647,021.04 = 150,760.48/x
  3. Step 3: Cross multiply
    431,307.04x = 647,021.04 × 150,760.48
  4. Step 4: Simplify right side
    431,307.04x = 97,545,202,560.50
  5. Step 5: Solve for x
    x = 97,545,202,560.50/431,307.04
  6. Step 6: Final answer
    x = 226,161.86

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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.