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Finding the Fourth Proportional to 433,245.26, 649,474.23 and 196,458.77

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Solution

The fourth proportional to 433,245.26, 649,474.23 and 196,458.77 is: 294,509.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,245.26 : 649,474.23 = 196,458.77 : x
  2. Step 2: Convert to fraction form
    433,245.26/649,474.23 = 196,458.77/x
  3. Step 3: Cross multiply
    433,245.26x = 649,474.23 × 196,458.77
  4. Step 4: Simplify right side
    433,245.26x = 127,594,905,421.99
  5. Step 5: Solve for x
    x = 127,594,905,421.99/433,245.26
  6. Step 6: Final answer
    x = 294,509.64

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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.