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Finding the Fourth Proportional to 1,993,086, 2,989,629 and 646,375.14

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Solution

The fourth proportional to 1,993,086, 2,989,629 and 646,375.14 is: 969,562.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993,086 : 2,989,629 = 646,375.14 : x
  2. Step 2: Convert to fraction form
    1,993,086/2,989,629 = 646,375.14/x
  3. Step 3: Cross multiply
    1,993,086x = 2,989,629 × 646,375.14
  4. Step 4: Simplify right side
    1,993,086x = 1,932,421,863,423.06
  5. Step 5: Solve for x
    x = 1,932,421,863,423.06/1,993,086
  6. Step 6: Final answer
    x = 969,562.71

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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.