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Finding the Fourth Proportional to 422,359.68, 582,898.12 and 241,098.86

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Solution

The fourth proportional to 422,359.68, 582,898.12 and 241,098.86 is: 332,740.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,359.68 : 582,898.12 = 241,098.86 : x
  2. Step 2: Convert to fraction form
    422,359.68/582,898.12 = 241,098.86/x
  3. Step 3: Cross multiply
    422,359.68x = 582,898.12 × 241,098.86
  4. Step 4: Simplify right side
    422,359.68x = 140,536,072,228.14
  5. Step 5: Solve for x
    x = 140,536,072,228.14/422,359.68
  6. Step 6: Final answer
    x = 332,740.27

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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.