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Finding the Fourth Proportional to 422,015.46, 582,388.55 and 260,866.36

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Solution

The fourth proportional to 422,015.46, 582,388.55 and 260,866.36 is: 360,000.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,015.46 : 582,388.55 = 260,866.36 : x
  2. Step 2: Convert to fraction form
    422,015.46/582,388.55 = 260,866.36/x
  3. Step 3: Cross multiply
    422,015.46x = 582,388.55 × 260,866.36
  4. Step 4: Simplify right side
    422,015.46x = 151,925,581,144.18
  5. Step 5: Solve for x
    x = 151,925,581,144.18/422,015.46
  6. Step 6: Final answer
    x = 360,000.04

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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.