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Finding the Fourth Proportional to 1,557,414, 2,149,234.56 and 842,022

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Solution

The fourth proportional to 1,557,414, 2,149,234.56 and 842,022 is: 1,161,992.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557,414 : 2,149,234.56 = 842,022 : x
  2. Step 2: Convert to fraction form
    1,557,414/2,149,234.56 = 842,022/x
  3. Step 3: Cross multiply
    1,557,414x = 2,149,234.56 × 842,022
  4. Step 4: Simplify right side
    1,557,414x = 1,809,702,782,680.32
  5. Step 5: Solve for x
    x = 1,809,702,782,680.32/1,557,414
  6. Step 6: Final answer
    x = 1,161,992.11

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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.