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Finding the Fourth Proportional to 471,219.25, 650,508.42 and 290,086.44

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Solution

The fourth proportional to 471,219.25, 650,508.42 and 290,086.44 is: 400,458.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,219.25 : 650,508.42 = 290,086.44 : x
  2. Step 2: Convert to fraction form
    471,219.25/650,508.42 = 290,086.44/x
  3. Step 3: Cross multiply
    471,219.25x = 650,508.42 × 290,086.44
  4. Step 4: Simplify right side
    471,219.25x = 188,703,671,747.83
  5. Step 5: Solve for x
    x = 188,703,671,747.83/471,219.25
  6. Step 6: Final answer
    x = 400,458.33

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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.