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Finding the Fourth Proportional to 422,293.46, 582,822.96 and 258,921.08

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Solution

The fourth proportional to 422,293.46, 582,822.96 and 258,921.08 is: 357,346.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,293.46 : 582,822.96 = 258,921.08 : x
  2. Step 2: Convert to fraction form
    422,293.46/582,822.96 = 258,921.08/x
  3. Step 3: Cross multiply
    422,293.46x = 582,822.96 × 258,921.08
  4. Step 4: Simplify right side
    422,293.46x = 150,905,147,337.88
  5. Step 5: Solve for x
    x = 150,905,147,337.88/422,293.46
  6. Step 6: Final answer
    x = 357,346.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.