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Finding the Fourth Proportional to 496,855.20, 744,918.24 and 197,187.60

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Solution

The fourth proportional to 496,855.20, 744,918.24 and 197,187.60 is: 295,636.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,855.20 : 744,918.24 = 197,187.60 : x
  2. Step 2: Convert to fraction form
    496,855.20/744,918.24 = 197,187.60/x
  3. Step 3: Cross multiply
    496,855.20x = 744,918.24 × 197,187.60
  4. Step 4: Simplify right side
    496,855.20x = 146,888,639,941.82
  5. Step 5: Solve for x
    x = 146,888,639,941.82/496,855.20
  6. Step 6: Final answer
    x = 295,636.72

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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.