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Finding the Fourth Proportional to 422,289.86, 582,763.82 and 240,999.98

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Solution

The fourth proportional to 422,289.86, 582,763.82 and 240,999.98 is: 332,582.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,289.86 : 582,763.82 = 240,999.98 : x
  2. Step 2: Convert to fraction form
    422,289.86/582,763.82 = 240,999.98/x
  3. Step 3: Cross multiply
    422,289.86x = 582,763.82 × 240,999.98
  4. Step 4: Simplify right side
    422,289.86x = 140,446,064,845.91
  5. Step 5: Solve for x
    x = 140,446,064,845.91/422,289.86
  6. Step 6: Final answer
    x = 332,582.14

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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.