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Finding the Fourth Proportional to 1,057,794, 1,586,691.12 and 269,826

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Solution

The fourth proportional to 1,057,794, 1,586,691.12 and 269,826 is: 404,739.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057,794 : 1,586,691.12 = 269,826 : x
  2. Step 2: Convert to fraction form
    1,057,794/1,586,691.12 = 269,826/x
  3. Step 3: Cross multiply
    1,057,794x = 1,586,691.12 × 269,826
  4. Step 4: Simplify right side
    1,057,794x = 428,130,518,145.12
  5. Step 5: Solve for x
    x = 428,130,518,145.12/1,057,794
  6. Step 6: Final answer
    x = 404,739.03

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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.