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Finding the Fourth Proportional to 364,273.64, 502,733.46 and 221,022.44

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Solution

The fourth proportional to 364,273.64, 502,733.46 and 221,022.44 is: 305,032.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,273.64 : 502,733.46 = 221,022.44 : x
  2. Step 2: Convert to fraction form
    364,273.64/502,733.46 = 221,022.44/x
  3. Step 3: Cross multiply
    364,273.64x = 502,733.46 × 221,022.44
  4. Step 4: Simplify right side
    364,273.64x = 111,115,375,998.84
  5. Step 5: Solve for x
    x = 111,115,375,998.84/364,273.64
  6. Step 6: Final answer
    x = 305,032.71

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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.