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Finding the Fourth Proportional to 431,142.20, 646,713.30 and 389,151.80

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Solution

The fourth proportional to 431,142.20, 646,713.30 and 389,151.80 is: 583,727.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,142.20 : 646,713.30 = 389,151.80 : x
  2. Step 2: Convert to fraction form
    431,142.20/646,713.30 = 389,151.80/x
  3. Step 3: Cross multiply
    431,142.20x = 646,713.30 × 389,151.80
  4. Step 4: Simplify right side
    431,142.20x = 251,669,644,778.94
  5. Step 5: Solve for x
    x = 251,669,644,778.94/431,142.20
  6. Step 6: Final answer
    x = 583,727.70

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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.