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Finding the Fourth Proportional to 796,347, 1,098,958.92 and 438,651

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Solution

The fourth proportional to 796,347, 1,098,958.92 and 438,651 is: 605,338.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,347 : 1,098,958.92 = 438,651 : x
  2. Step 2: Convert to fraction form
    796,347/1,098,958.92 = 438,651/x
  3. Step 3: Cross multiply
    796,347x = 1,098,958.92 × 438,651
  4. Step 4: Simplify right side
    796,347x = 482,059,429,216.92
  5. Step 5: Solve for x
    x = 482,059,429,216.92/796,347
  6. Step 6: Final answer
    x = 605,338.41

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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.