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Finding the Fourth Proportional to 264,912.40, 397,368.60 and 107,059.60

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Solution

The fourth proportional to 264,912.40, 397,368.60 and 107,059.60 is: 160,589.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,912.40 : 397,368.60 = 107,059.60 : x
  2. Step 2: Convert to fraction form
    264,912.40/397,368.60 = 107,059.60/x
  3. Step 3: Cross multiply
    264,912.40x = 397,368.60 × 107,059.60
  4. Step 4: Simplify right side
    264,912.40x = 42,542,123,368.56
  5. Step 5: Solve for x
    x = 42,542,123,368.56/264,912.40
  6. Step 6: Final answer
    x = 160,589.40

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Why These Related Problems?

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