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Finding the Fourth Proportional to 422,227.65, 582,715.76 and 240,966.86

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Solution

The fourth proportional to 422,227.65, 582,715.76 and 240,966.86 is: 332,558.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,227.65 : 582,715.76 = 240,966.86 : x
  2. Step 2: Convert to fraction form
    422,227.65/582,715.76 = 240,966.86/x
  3. Step 3: Cross multiply
    422,227.65x = 582,715.76 × 240,966.86
  4. Step 4: Simplify right side
    422,227.65x = 140,415,182,841.30
  5. Step 5: Solve for x
    x = 140,415,182,841.30/422,227.65
  6. Step 6: Final answer
    x = 332,558.00

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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.