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Finding the Fourth Proportional to 298,576.44, 412,035.92 and 162,611

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Solution

The fourth proportional to 298,576.44, 412,035.92 and 162,611 is: 224,403.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,576.44 : 412,035.92 = 162,611 : x
  2. Step 2: Convert to fraction form
    298,576.44/412,035.92 = 162,611/x
  3. Step 3: Cross multiply
    298,576.44x = 412,035.92 × 162,611
  4. Step 4: Simplify right side
    298,576.44x = 67,001,572,987.12
  5. Step 5: Solve for x
    x = 67,001,572,987.12/298,576.44
  6. Step 6: Final answer
    x = 224,403.42

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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.