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Finding the Fourth Proportional to 298,227.52, 411,541.66 and 162,262.01

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Solution

The fourth proportional to 298,227.52, 411,541.66 and 162,262.01 is: 223,914.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,227.52 : 411,541.66 = 162,262.01 : x
  2. Step 2: Convert to fraction form
    298,227.52/411,541.66 = 162,262.01/x
  3. Step 3: Cross multiply
    298,227.52x = 411,541.66 × 162,262.01
  4. Step 4: Simplify right side
    298,227.52x = 66,777,577,024.56
  5. Step 5: Solve for x
    x = 66,777,577,024.56/298,227.52
  6. Step 6: Final answer
    x = 223,914.87

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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.