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Finding the Fourth Proportional to 422,016.96, 582,390.62 and 260,867.86

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Solution

The fourth proportional to 422,016.96, 582,390.62 and 260,867.86 is: 360,002.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,016.96 : 582,390.62 = 260,867.86 : x
  2. Step 2: Convert to fraction form
    422,016.96/582,390.62 = 260,867.86/x
  3. Step 3: Cross multiply
    422,016.96x = 582,390.62 × 260,867.86
  4. Step 4: Simplify right side
    422,016.96x = 151,926,994,723.47
  5. Step 5: Solve for x
    x = 151,926,994,723.47/422,016.96
  6. Step 6: Final answer
    x = 360,002.11

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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.