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Finding the Fourth Proportional to 490,394.60, 735,591.90 and 194,906.60

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Solution

The fourth proportional to 490,394.60, 735,591.90 and 194,906.60 is: 292,359.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,394.60 : 735,591.90 = 194,906.60 : x
  2. Step 2: Convert to fraction form
    490,394.60/735,591.90 = 194,906.60/x
  3. Step 3: Cross multiply
    490,394.60x = 735,591.90 × 194,906.60
  4. Step 4: Simplify right side
    490,394.60x = 143,371,716,216.54
  5. Step 5: Solve for x
    x = 143,371,716,216.54/490,394.60
  6. Step 6: Final answer
    x = 292,359.90

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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.