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Finding the Fourth Proportional to 471,481.96, 650,659.14 and 290,298.40

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Solution

The fourth proportional to 471,481.96, 650,659.14 and 290,298.40 is: 400,620.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,481.96 : 650,659.14 = 290,298.40 : x
  2. Step 2: Convert to fraction form
    471,481.96/650,659.14 = 290,298.40/x
  3. Step 3: Cross multiply
    471,481.96x = 650,659.14 × 290,298.40
  4. Step 4: Simplify right side
    471,481.96x = 188,885,307,287.38
  5. Step 5: Solve for x
    x = 188,885,307,287.38/471,481.96
  6. Step 6: Final answer
    x = 400,620.43

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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.