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Finding the Fourth Proportional to 422,014.22, 582,389.88 and 231,027.02

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Solution

The fourth proportional to 422,014.22, 582,389.88 and 231,027.02 is: 318,822.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,014.22 : 582,389.88 = 231,027.02 : x
  2. Step 2: Convert to fraction form
    422,014.22/582,389.88 = 231,027.02/x
  3. Step 3: Cross multiply
    422,014.22x = 582,389.88 × 231,027.02
  4. Step 4: Simplify right side
    422,014.22x = 134,547,798,454.56
  5. Step 5: Solve for x
    x = 134,547,798,454.56/422,014.22
  6. Step 6: Final answer
    x = 318,822.90

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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.