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Finding the Fourth Proportional to 422,003.68, 582,313.44 and 336,181.28

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Solution

The fourth proportional to 422,003.68, 582,313.44 and 336,181.28 is: 463,889.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,003.68 : 582,313.44 = 336,181.28 : x
  2. Step 2: Convert to fraction form
    422,003.68/582,313.44 = 336,181.28/x
  3. Step 3: Cross multiply
    422,003.68x = 582,313.44 × 336,181.28
  4. Step 4: Simplify right side
    422,003.68x = 195,762,877,620.40
  5. Step 5: Solve for x
    x = 195,762,877,620.40/422,003.68
  6. Step 6: Final answer
    x = 463,889.03

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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.