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Finding the Fourth Proportional to 422,134.66, 582,552.27 and 231,165.82

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Solution

The fourth proportional to 422,134.66, 582,552.27 and 231,165.82 is: 319,012.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,134.66 : 582,552.27 = 231,165.82 : x
  2. Step 2: Convert to fraction form
    422,134.66/582,552.27 = 231,165.82/x
  3. Step 3: Cross multiply
    422,134.66x = 582,552.27 × 231,165.82
  4. Step 4: Simplify right side
    422,134.66x = 134,666,170,274.65
  5. Step 5: Solve for x
    x = 134,666,170,274.65/422,134.66
  6. Step 6: Final answer
    x = 319,012.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.