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Finding the Fourth Proportional to 330,496.96, 494,520.72 and 197,449.60

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Solution

The fourth proportional to 330,496.96, 494,520.72 and 197,449.60 is: 295,442.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,496.96 : 494,520.72 = 197,449.60 : x
  2. Step 2: Convert to fraction form
    330,496.96/494,520.72 = 197,449.60/x
  3. Step 3: Cross multiply
    330,496.96x = 494,520.72 × 197,449.60
  4. Step 4: Simplify right side
    330,496.96x = 97,642,918,355.71
  5. Step 5: Solve for x
    x = 97,642,918,355.71/330,496.96
  6. Step 6: Final answer
    x = 295,442.71

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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.