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Finding the Fourth Proportional to 300,809, 450,913.26 and 150,590.72

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Solution

The fourth proportional to 300,809, 450,913.26 and 150,590.72 is: 225,735.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,809 : 450,913.26 = 150,590.72 : x
  2. Step 2: Convert to fraction form
    300,809/450,913.26 = 150,590.72/x
  3. Step 3: Cross multiply
    300,809x = 450,913.26 × 150,590.72
  4. Step 4: Simplify right side
    300,809x = 67,903,352,480.95
  5. Step 5: Solve for x
    x = 67,903,352,480.95/300,809
  6. Step 6: Final answer
    x = 225,735.77

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