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Finding the Fourth Proportional to 365,198.42, 503,964.38 and 204,054.69

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Solution

The fourth proportional to 365,198.42, 503,964.38 and 204,054.69 is: 281,590.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,198.42 : 503,964.38 = 204,054.69 : x
  2. Step 2: Convert to fraction form
    365,198.42/503,964.38 = 204,054.69/x
  3. Step 3: Cross multiply
    365,198.42x = 503,964.38 × 204,054.69
  4. Step 4: Simplify right side
    365,198.42x = 102,836,297,731.95
  5. Step 5: Solve for x
    x = 102,836,297,731.95/365,198.42
  6. Step 6: Final answer
    x = 281,590.20

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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.