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Finding the Fourth Proportional to 297,692.60, 410,818.66 and 161,727.60

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Solution

The fourth proportional to 297,692.60, 410,818.66 and 161,727.60 is: 223,185.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,692.60 : 410,818.66 = 161,727.60 : x
  2. Step 2: Convert to fraction form
    297,692.60/410,818.66 = 161,727.60/x
  3. Step 3: Cross multiply
    297,692.60x = 410,818.66 × 161,727.60
  4. Step 4: Simplify right side
    297,692.60x = 66,440,715,917.02
  5. Step 5: Solve for x
    x = 66,440,715,917.02/297,692.60
  6. Step 6: Final answer
    x = 223,185.65

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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.