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Finding the Fourth Proportional to 471,284.22, 650,375.01 and 256,425.78

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Solution

The fourth proportional to 471,284.22, 650,375.01 and 256,425.78 is: 353,869.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,284.22 : 650,375.01 = 256,425.78 : x
  2. Step 2: Convert to fraction form
    471,284.22/650,375.01 = 256,425.78/x
  3. Step 3: Cross multiply
    471,284.22x = 650,375.01 × 256,425.78
  4. Step 4: Simplify right side
    471,284.22x = 166,772,919,231.76
  5. Step 5: Solve for x
    x = 166,772,919,231.76/471,284.22
  6. Step 6: Final answer
    x = 353,869.09

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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.