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Finding the Fourth Proportional to 296,913.87, 409,770.50 and 169,608.60

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Solution

The fourth proportional to 296,913.87, 409,770.50 and 169,608.60 is: 234,076.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,913.87 : 409,770.50 = 169,608.60 : x
  2. Step 2: Convert to fraction form
    296,913.87/409,770.50 = 169,608.60/x
  3. Step 3: Cross multiply
    296,913.87x = 409,770.50 × 169,608.60
  4. Step 4: Simplify right side
    296,913.87x = 69,500,599,978.26
  5. Step 5: Solve for x
    x = 69,500,599,978.26/296,913.87
  6. Step 6: Final answer
    x = 234,076.64

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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.