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Finding the Fourth Proportional to 1,409,784.11, 1,945,449.72 and 765,190.43

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Solution

The fourth proportional to 1,409,784.11, 1,945,449.72 and 765,190.43 is: 1,055,934.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,784.11 : 1,945,449.72 = 765,190.43 : x
  2. Step 2: Convert to fraction form
    1,409,784.11/1,945,449.72 = 765,190.43/x
  3. Step 3: Cross multiply
    1,409,784.11x = 1,945,449.72 × 765,190.43
  4. Step 4: Simplify right side
    1,409,784.11x = 1,488,639,498,062.93
  5. Step 5: Solve for x
    x = 1,488,639,498,062.93/1,409,784.11
  6. Step 6: Final answer
    x = 1,055,934.38

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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.