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Finding the Fourth Proportional to 548,620.40, 822,930.60 and 193,631.60

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Solution

The fourth proportional to 548,620.40, 822,930.60 and 193,631.60 is: 290,447.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,620.40 : 822,930.60 = 193,631.60 : x
  2. Step 2: Convert to fraction form
    548,620.40/822,930.60 = 193,631.60/x
  3. Step 3: Cross multiply
    548,620.40x = 822,930.60 × 193,631.60
  4. Step 4: Simplify right side
    548,620.40x = 159,345,368,766.96
  5. Step 5: Solve for x
    x = 159,345,368,766.96/548,620.40
  6. Step 6: Final answer
    x = 290,447.40

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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.