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Finding the Fourth Proportional to 408,912.60, 613,368.90 and 323,619.60

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Solution

The fourth proportional to 408,912.60, 613,368.90 and 323,619.60 is: 485,429.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,912.60 : 613,368.90 = 323,619.60 : x
  2. Step 2: Convert to fraction form
    408,912.60/613,368.90 = 323,619.60/x
  3. Step 3: Cross multiply
    408,912.60x = 613,368.90 × 323,619.60
  4. Step 4: Simplify right side
    408,912.60x = 198,498,198,070.44
  5. Step 5: Solve for x
    x = 198,498,198,070.44/408,912.60
  6. Step 6: Final answer
    x = 485,429.40

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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.