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Finding the Fourth Proportional to 431,468.32, 647,142 and 182,092

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Solution

The fourth proportional to 431,468.32, 647,142 and 182,092 is: 273,112.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,468.32 : 647,142 = 182,092 : x
  2. Step 2: Convert to fraction form
    431,468.32/647,142 = 182,092/x
  3. Step 3: Cross multiply
    431,468.32x = 647,142 × 182,092
  4. Step 4: Simplify right side
    431,468.32x = 117,839,381,064
  5. Step 5: Solve for x
    x = 117,839,381,064/431,468.32
  6. Step 6: Final answer
    x = 273,112.48

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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.