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Finding the Fourth Proportional to 1,805,687.14, 2,707,743.30 and 682,968.82

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Solution

The fourth proportional to 1,805,687.14, 2,707,743.30 and 682,968.82 is: 1,024,155.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805,687.14 : 2,707,743.30 = 682,968.82 : x
  2. Step 2: Convert to fraction form
    1,805,687.14/2,707,743.30 = 682,968.82/x
  3. Step 3: Cross multiply
    1,805,687.14x = 2,707,743.30 × 682,968.82
  4. Step 4: Simplify right side
    1,805,687.14x = 1,849,304,248,171.33
  5. Step 5: Solve for x
    x = 1,849,304,248,171.33/1,805,687.14
  6. Step 6: Final answer
    x = 1,024,155.41

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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.