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Finding the Fourth Proportional to 322,301.52, 444,633 and 214,766.64

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Solution

The fourth proportional to 322,301.52, 444,633 and 214,766.64 is: 296,282.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,301.52 : 444,633 = 214,766.64 : x
  2. Step 2: Convert to fraction form
    322,301.52/444,633 = 214,766.64/x
  3. Step 3: Cross multiply
    322,301.52x = 444,633 × 214,766.64
  4. Step 4: Simplify right side
    322,301.52x = 95,492,335,443.12
  5. Step 5: Solve for x
    x = 95,492,335,443.12/322,301.52
  6. Step 6: Final answer
    x = 296,282.61

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