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Finding the Fourth Proportional to 800,850.95, 1,201,382.12 and 295,766.94

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Solution

The fourth proportional to 800,850.95, 1,201,382.12 and 295,766.94 is: 443,689.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,850.95 : 1,201,382.12 = 295,766.94 : x
  2. Step 2: Convert to fraction form
    800,850.95/1,201,382.12 = 295,766.94/x
  3. Step 3: Cross multiply
    800,850.95x = 1,201,382.12 × 295,766.94
  4. Step 4: Simplify right side
    800,850.95x = 355,329,113,403.11
  5. Step 5: Solve for x
    x = 355,329,113,403.11/800,850.95
  6. Step 6: Final answer
    x = 443,689.44

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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.