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Finding the Fourth Proportional to 297,600.92, 410,692.24 and 161,636.16

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Solution

The fourth proportional to 297,600.92, 410,692.24 and 161,636.16 is: 223,059.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,600.92 : 410,692.24 = 161,636.16 : x
  2. Step 2: Convert to fraction form
    297,600.92/410,692.24 = 161,636.16/x
  3. Step 3: Cross multiply
    297,600.92x = 410,692.24 × 161,636.16
  4. Step 4: Simplify right side
    297,600.92x = 66,382,716,615.40
  5. Step 5: Solve for x
    x = 66,382,716,615.40/297,600.92
  6. Step 6: Final answer
    x = 223,059.51

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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.