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Finding the Fourth Proportional to 264,826.56, 397,114.98 and 96,228

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Solution

The fourth proportional to 264,826.56, 397,114.98 and 96,228 is: 144,296.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,826.56 : 397,114.98 = 96,228 : x
  2. Step 2: Convert to fraction form
    264,826.56/397,114.98 = 96,228/x
  3. Step 3: Cross multiply
    264,826.56x = 397,114.98 × 96,228
  4. Step 4: Simplify right side
    264,826.56x = 38,213,580,295.44
  5. Step 5: Solve for x
    x = 38,213,580,295.44/264,826.56
  6. Step 6: Final answer
    x = 144,296.63

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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.