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Finding the Fourth Proportional to 260,961.12, 360,299.84 and 200,423.60

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Solution

The fourth proportional to 260,961.12, 360,299.84 and 200,423.60 is: 276,717.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,961.12 : 360,299.84 = 200,423.60 : x
  2. Step 2: Convert to fraction form
    260,961.12/360,299.84 = 200,423.60/x
  3. Step 3: Cross multiply
    260,961.12x = 360,299.84 × 200,423.60
  4. Step 4: Simplify right side
    260,961.12x = 72,212,591,012.22
  5. Step 5: Solve for x
    x = 72,212,591,012.22/260,961.12
  6. Step 6: Final answer
    x = 276,717.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.