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Finding the Fourth Proportional to 733,331.36, 1,099,954 and 200,813.20

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Solution

The fourth proportional to 733,331.36, 1,099,954 and 200,813.20 is: 301,208.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,331.36 : 1,099,954 = 200,813.20 : x
  2. Step 2: Convert to fraction form
    733,331.36/1,099,954 = 200,813.20/x
  3. Step 3: Cross multiply
    733,331.36x = 1,099,954 × 200,813.20
  4. Step 4: Simplify right side
    733,331.36x = 220,885,282,592.80
  5. Step 5: Solve for x
    x = 220,885,282,592.80/733,331.36
  6. Step 6: Final answer
    x = 301,208.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.