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Finding the Fourth Proportional to 422,015.96, 582,389.24 and 260,866.86

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Solution

The fourth proportional to 422,015.96, 582,389.24 and 260,866.86 is: 360,000.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,015.96 : 582,389.24 = 260,866.86 : x
  2. Step 2: Convert to fraction form
    422,015.96/582,389.24 = 260,866.86/x
  3. Step 3: Cross multiply
    422,015.96x = 582,389.24 × 260,866.86
  4. Step 4: Simplify right side
    422,015.96x = 151,926,051,032.25
  5. Step 5: Solve for x
    x = 151,926,051,032.25/422,015.96
  6. Step 6: Final answer
    x = 360,000.73

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1.5x scale

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.