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Finding the Fourth Proportional to 422,045.44, 582,462.30 and 252,275.92

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Solution

The fourth proportional to 422,045.44, 582,462.30 and 252,275.92 is: 348,164.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,045.44 : 582,462.30 = 252,275.92 : x
  2. Step 2: Convert to fraction form
    422,045.44/582,462.30 = 252,275.92/x
  3. Step 3: Cross multiply
    422,045.44x = 582,462.30 × 252,275.92
  4. Step 4: Simplify right side
    422,045.44x = 146,941,212,597.82
  5. Step 5: Solve for x
    x = 146,941,212,597.82/422,045.44
  6. Step 6: Final answer
    x = 348,164.44

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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.