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Finding the Fourth Proportional to 796,322, 1,098,924.36 and 438,626

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Solution

The fourth proportional to 796,322, 1,098,924.36 and 438,626 is: 605,303.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,322 : 1,098,924.36 = 438,626 : x
  2. Step 2: Convert to fraction form
    796,322/1,098,924.36 = 438,626/x
  3. Step 3: Cross multiply
    796,322x = 1,098,924.36 × 438,626
  4. Step 4: Simplify right side
    796,322x = 482,016,796,329.36
  5. Step 5: Solve for x
    x = 482,016,796,329.36/796,322
  6. Step 6: Final answer
    x = 605,303.88

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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.