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Finding the Fourth Proportional to 422,289.98, 582,752.96 and 228,696.12

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Solution

The fourth proportional to 422,289.98, 582,752.96 and 228,696.12 is: 315,596.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,289.98 : 582,752.96 = 228,696.12 : x
  2. Step 2: Convert to fraction form
    422,289.98/582,752.96 = 228,696.12/x
  3. Step 3: Cross multiply
    422,289.98x = 582,752.96 × 228,696.12
  4. Step 4: Simplify right side
    422,289.98x = 133,273,340,870.52
  5. Step 5: Solve for x
    x = 133,273,340,870.52/422,289.98
  6. Step 6: Final answer
    x = 315,596.74

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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.