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Finding the Fourth Proportional to 297,466.48, 410,500.84 and 161,497.48

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Solution

The fourth proportional to 297,466.48, 410,500.84 and 161,497.48 is: 222,864.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,466.48 : 410,500.84 = 161,497.48 : x
  2. Step 2: Convert to fraction form
    297,466.48/410,500.84 = 161,497.48/x
  3. Step 3: Cross multiply
    297,466.48x = 410,500.84 × 161,497.48
  4. Step 4: Simplify right side
    297,466.48x = 66,294,851,197.88
  5. Step 5: Solve for x
    x = 66,294,851,197.88/297,466.48
  6. Step 6: Final answer
    x = 222,864.95

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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.