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Finding the Fourth Proportional to 408,734.10, 613,101.15 and 309,201.30

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Solution

The fourth proportional to 408,734.10, 613,101.15 and 309,201.30 is: 463,801.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,734.10 : 613,101.15 = 309,201.30 : x
  2. Step 2: Convert to fraction form
    408,734.10/613,101.15 = 309,201.30/x
  3. Step 3: Cross multiply
    408,734.10x = 613,101.15 × 309,201.30
  4. Step 4: Simplify right side
    408,734.10x = 189,571,672,611.50
  5. Step 5: Solve for x
    x = 189,571,672,611.50/408,734.10
  6. Step 6: Final answer
    x = 463,801.95

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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.