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Finding the Fourth Proportional to 496,498.80, 744,942.60 and 180,987.60

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Solution

The fourth proportional to 496,498.80, 744,942.60 and 180,987.60 is: 271,552.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,498.80 : 744,942.60 = 180,987.60 : x
  2. Step 2: Convert to fraction form
    496,498.80/744,942.60 = 180,987.60/x
  3. Step 3: Cross multiply
    496,498.80x = 744,942.60 × 180,987.60
  4. Step 4: Simplify right side
    496,498.80x = 134,825,373,311.76
  5. Step 5: Solve for x
    x = 134,825,373,311.76/496,498.80
  6. Step 6: Final answer
    x = 271,552.26

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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.