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Finding the Fourth Proportional to 496,122.60, 744,378.30 and 196,552.20

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Solution

The fourth proportional to 496,122.60, 744,378.30 and 196,552.20 is: 294,905.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,122.60 : 744,378.30 = 196,552.20 : x
  2. Step 2: Convert to fraction form
    496,122.60/744,378.30 = 196,552.20/x
  3. Step 3: Cross multiply
    496,122.60x = 744,378.30 × 196,552.20
  4. Step 4: Simplify right side
    496,122.60x = 146,309,192,497.26
  5. Step 5: Solve for x
    x = 146,309,192,497.26/496,122.60
  6. Step 6: Final answer
    x = 294,905.32

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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.