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Finding the Fourth Proportional to 1,993,786.04, 2,989,940.34 and 714,194.20

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Solution

The fourth proportional to 1,993,786.04, 2,989,940.34 and 714,194.20 is: 1,071,026.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993,786.04 : 2,989,940.34 = 714,194.20 : x
  2. Step 2: Convert to fraction form
    1,993,786.04/2,989,940.34 = 714,194.20/x
  3. Step 3: Cross multiply
    1,993,786.04x = 2,989,940.34 × 714,194.20
  4. Step 4: Simplify right side
    1,993,786.04x = 2,135,398,049,174.03
  5. Step 5: Solve for x
    x = 2,135,398,049,174.03/1,993,786.04
  6. Step 6: Final answer
    x = 1,071,026.68

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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.