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Finding the Fourth Proportional to 298,512.48, 411,976.32 and 222,929.76

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Solution

The fourth proportional to 298,512.48, 411,976.32 and 222,929.76 is: 307,664.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,512.48 : 411,976.32 = 222,929.76 : x
  2. Step 2: Convert to fraction form
    298,512.48/411,976.32 = 222,929.76/x
  3. Step 3: Cross multiply
    298,512.48x = 411,976.32 × 222,929.76
  4. Step 4: Simplify right side
    298,512.48x = 91,841,782,143.28
  5. Step 5: Solve for x
    x = 91,841,782,143.28/298,512.48
  6. Step 6: Final answer
    x = 307,664.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.