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Finding the Fourth Proportional to 471,356.82, 650,471.21 and 256,496.83

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Solution

The fourth proportional to 471,356.82, 650,471.21 and 256,496.83 is: 353,964.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,356.82 : 650,471.21 = 256,496.83 : x
  2. Step 2: Convert to fraction form
    471,356.82/650,471.21 = 256,496.83/x
  3. Step 3: Cross multiply
    471,356.82x = 650,471.21 × 256,496.83
  4. Step 4: Simplify right side
    471,356.82x = 166,843,801,424.47
  5. Step 5: Solve for x
    x = 166,843,801,424.47/471,356.82
  6. Step 6: Final answer
    x = 353,964.97

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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.