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Finding the Fourth Proportional to 630,197.60, 945,757.20 and 419,765.60

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Solution

The fourth proportional to 630,197.60, 945,757.20 and 419,765.60 is: 629,955.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,197.60 : 945,757.20 = 419,765.60 : x
  2. Step 2: Convert to fraction form
    630,197.60/945,757.20 = 419,765.60/x
  3. Step 3: Cross multiply
    630,197.60x = 945,757.20 × 419,765.60
  4. Step 4: Simplify right side
    630,197.60x = 396,996,338,512.32
  5. Step 5: Solve for x
    x = 396,996,338,512.32/630,197.60
  6. Step 6: Final answer
    x = 629,955.33

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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.