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Finding the Fourth Proportional to 431,161.80, 647,034.30 and 241,621.80

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Solution

The fourth proportional to 431,161.80, 647,034.30 and 241,621.80 is: 362,596.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,161.80 : 647,034.30 = 241,621.80 : x
  2. Step 2: Convert to fraction form
    431,161.80/647,034.30 = 241,621.80/x
  3. Step 3: Cross multiply
    431,161.80x = 647,034.30 × 241,621.80
  4. Step 4: Simplify right side
    431,161.80x = 156,337,592,227.74
  5. Step 5: Solve for x
    x = 156,337,592,227.74/431,161.80
  6. Step 6: Final answer
    x = 362,596.11

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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.