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Finding the Fourth Proportional to 264,909.40, 397,227.30 and 77,896.60

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Solution

The fourth proportional to 264,909.40, 397,227.30 and 77,896.60 is: 116,804.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,909.40 : 397,227.30 = 77,896.60 : x
  2. Step 2: Convert to fraction form
    264,909.40/397,227.30 = 77,896.60/x
  3. Step 3: Cross multiply
    264,909.40x = 397,227.30 × 77,896.60
  4. Step 4: Simplify right side
    264,909.40x = 30,942,656,097.18
  5. Step 5: Solve for x
    x = 30,942,656,097.18/264,909.40
  6. Step 6: Final answer
    x = 116,804.67

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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.