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Finding the Fourth Proportional to 297,613.41, 410,709.48 and 161,650.01

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Solution

The fourth proportional to 297,613.41, 410,709.48 and 161,650.01 is: 223,078.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,613.41 : 410,709.48 = 161,650.01 : x
  2. Step 2: Convert to fraction form
    297,613.41/410,709.48 = 161,650.01/x
  3. Step 3: Cross multiply
    297,613.41x = 410,709.48 × 161,650.01
  4. Step 4: Simplify right side
    297,613.41x = 66,391,189,495.55
  5. Step 5: Solve for x
    x = 66,391,189,495.55/297,613.41
  6. Step 6: Final answer
    x = 223,078.62

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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.