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Finding the Fourth Proportional to 365,144.33, 503,922.86 and 204,000.30

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Solution

The fourth proportional to 365,144.33, 503,922.86 and 204,000.30 is: 281,533.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,144.33 : 503,922.86 = 204,000.30 : x
  2. Step 2: Convert to fraction form
    365,144.33/503,922.86 = 204,000.30/x
  3. Step 3: Cross multiply
    365,144.33x = 503,922.86 × 204,000.30
  4. Step 4: Simplify right side
    365,144.33x = 102,800,414,616.86
  5. Step 5: Solve for x
    x = 102,800,414,616.86/365,144.33
  6. Step 6: Final answer
    x = 281,533.65

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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.