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Finding the Fourth Proportional to 299,766.83, 413,396.60 and 223,455.11

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Solution

The fourth proportional to 299,766.83, 413,396.60 and 223,455.11 is: 308,158.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,766.83 : 413,396.60 = 223,455.11 : x
  2. Step 2: Convert to fraction form
    299,766.83/413,396.60 = 223,455.11/x
  3. Step 3: Cross multiply
    299,766.83x = 413,396.60 × 223,455.11
  4. Step 4: Simplify right side
    299,766.83x = 92,375,579,542.37
  5. Step 5: Solve for x
    x = 92,375,579,542.37/299,766.83
  6. Step 6: Final answer
    x = 308,158.11

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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.