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Finding the Fourth Proportional to 365,183.08, 503,906.34 and 214,225

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Solution

The fourth proportional to 365,183.08, 503,906.34 and 214,225 is: 295,603.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,183.08 : 503,906.34 = 214,225 : x
  2. Step 2: Convert to fraction form
    365,183.08/503,906.34 = 214,225/x
  3. Step 3: Cross multiply
    365,183.08x = 503,906.34 × 214,225
  4. Step 4: Simplify right side
    365,183.08x = 107,949,335,686.50
  5. Step 5: Solve for x
    x = 107,949,335,686.50/365,183.08
  6. Step 6: Final answer
    x = 295,603.33

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1.5x scale

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.