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Finding the Fourth Proportional to 260,099.40, 389,711.70 and 171,307.20

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Solution

The fourth proportional to 260,099.40, 389,711.70 and 171,307.20 is: 256,672.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,099.40 : 389,711.70 = 171,307.20 : x
  2. Step 2: Convert to fraction form
    260,099.40/389,711.70 = 171,307.20/x
  3. Step 3: Cross multiply
    260,099.40x = 389,711.70 × 171,307.20
  4. Step 4: Simplify right side
    260,099.40x = 66,760,420,134.24
  5. Step 5: Solve for x
    x = 66,760,420,134.24/260,099.40
  6. Step 6: Final answer
    x = 256,672.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.