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Finding the Fourth Proportional to 496,498.95, 744,544.31 and 196,938.27

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Solution

The fourth proportional to 496,498.95, 744,544.31 and 196,938.27 is: 295,326.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,498.95 : 744,544.31 = 196,938.27 : x
  2. Step 2: Convert to fraction form
    496,498.95/744,544.31 = 196,938.27/x
  3. Step 3: Cross multiply
    496,498.95x = 744,544.31 × 196,938.27
  4. Step 4: Simplify right side
    496,498.95x = 146,629,267,365.05
  5. Step 5: Solve for x
    x = 146,629,267,365.05/496,498.95
  6. Step 6: Final answer
    x = 295,326.44

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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.