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Finding the Fourth Proportional to 1,409,786.52, 1,945,453.30 and 765,193.12

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Solution

The fourth proportional to 1,409,786.52, 1,945,453.30 and 765,193.12 is: 1,055,938.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,786.52 : 1,945,453.30 = 765,193.12 : x
  2. Step 2: Convert to fraction form
    1,409,786.52/1,945,453.30 = 765,193.12/x
  3. Step 3: Cross multiply
    1,409,786.52x = 1,945,453.30 × 765,193.12
  4. Step 4: Simplify right side
    1,409,786.52x = 1,488,647,480,441.30
  5. Step 5: Solve for x
    x = 1,488,647,480,441.30/1,409,786.52
  6. Step 6: Final answer
    x = 1,055,938.23

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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.