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Finding the Fourth Proportional to 796,959, 1,099,796.30 and 434,382.84

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Solution

The fourth proportional to 796,959, 1,099,796.30 and 434,382.84 is: 599,444.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,959 : 1,099,796.30 = 434,382.84 : x
  2. Step 2: Convert to fraction form
    796,959/1,099,796.30 = 434,382.84/x
  3. Step 3: Cross multiply
    796,959x = 1,099,796.30 × 434,382.84
  4. Step 4: Simplify right side
    796,959x = 477,732,640,215.49
  5. Step 5: Solve for x
    x = 477,732,640,215.49/796,959
  6. Step 6: Final answer
    x = 599,444.44

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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.