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Finding the Fourth Proportional to 422,298.72, 582,830.20 and 258,926.32

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Solution

The fourth proportional to 422,298.72, 582,830.20 and 258,926.32 is: 357,353.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,298.72 : 582,830.20 = 258,926.32 : x
  2. Step 2: Convert to fraction form
    422,298.72/582,830.20 = 258,926.32/x
  3. Step 3: Cross multiply
    422,298.72x = 582,830.20 × 258,926.32
  4. Step 4: Simplify right side
    422,298.72x = 150,910,078,870.86
  5. Step 5: Solve for x
    x = 150,910,078,870.86/422,298.72
  6. Step 6: Final answer
    x = 357,353.86

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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.