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Finding the Fourth Proportional to 299,535.08, 413,350.50 and 165,396.20

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Solution

The fourth proportional to 299,535.08, 413,350.50 and 165,396.20 is: 228,242.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,535.08 : 413,350.50 = 165,396.20 : x
  2. Step 2: Convert to fraction form
    299,535.08/413,350.50 = 165,396.20/x
  3. Step 3: Cross multiply
    299,535.08x = 413,350.50 × 165,396.20
  4. Step 4: Simplify right side
    299,535.08x = 68,366,601,968.10
  5. Step 5: Solve for x
    x = 68,366,601,968.10/299,535.08
  6. Step 6: Final answer
    x = 228,242.39

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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.