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Finding the Fourth Proportional to 297,534.92, 410,596.70 and 161,567.66

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Solution

The fourth proportional to 297,534.92, 410,596.70 and 161,567.66 is: 222,962.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,534.92 : 410,596.70 = 161,567.66 : x
  2. Step 2: Convert to fraction form
    297,534.92/410,596.70 = 161,567.66/x
  3. Step 3: Cross multiply
    297,534.92x = 410,596.70 × 161,567.66
  4. Step 4: Simplify right side
    297,534.92x = 66,339,148,022.72
  5. Step 5: Solve for x
    x = 66,339,148,022.72/297,534.92
  6. Step 6: Final answer
    x = 222,962.56

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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.