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Finding the Fourth Proportional to 471,363.44, 650,495.24 and 256,517.36

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Solution

The fourth proportional to 471,363.44, 650,495.24 and 256,517.36 is: 354,001.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,363.44 : 650,495.24 = 256,517.36 : x
  2. Step 2: Convert to fraction form
    471,363.44/650,495.24 = 256,517.36/x
  3. Step 3: Cross multiply
    471,363.44x = 650,495.24 × 256,517.36
  4. Step 4: Simplify right side
    471,363.44x = 166,863,321,657.37
  5. Step 5: Solve for x
    x = 166,863,321,657.37/471,363.44
  6. Step 6: Final answer
    x = 354,001.41

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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.