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Finding the Fourth Proportional to 1,189,216.35, 1,640,736.81 and 665,849.97

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Solution

The fourth proportional to 1,189,216.35, 1,640,736.81 and 665,849.97 is: 918,659.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189,216.35 : 1,640,736.81 = 665,849.97 : x
  2. Step 2: Convert to fraction form
    1,189,216.35/1,640,736.81 = 665,849.97/x
  3. Step 3: Cross multiply
    1,189,216.35x = 1,640,736.81 × 665,849.97
  4. Step 4: Simplify right side
    1,189,216.35x = 1,092,484,555,716.40
  5. Step 5: Solve for x
    x = 1,092,484,555,716.40/1,189,216.35
  6. Step 6: Final answer
    x = 918,659.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.