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Finding the Fourth Proportional to 796,968, 1,099,817.64 and 434,395.80

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Solution

The fourth proportional to 796,968, 1,099,817.64 and 434,395.80 is: 599,467.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,968 : 1,099,817.64 = 434,395.80 : x
  2. Step 2: Convert to fraction form
    796,968/1,099,817.64 = 434,395.80/x
  3. Step 3: Cross multiply
    796,968x = 1,099,817.64 × 434,395.80
  4. Step 4: Simplify right side
    796,968x = 477,756,163,581.91
  5. Step 5: Solve for x
    x = 477,756,163,581.91/796,968
  6. Step 6: Final answer
    x = 599,467.19

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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.