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Finding the Fourth Proportional to 345,794.42, 477,198.39 and 192,842.28

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Solution

The fourth proportional to 345,794.42, 477,198.39 and 192,842.28 is: 266,123.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,794.42 : 477,198.39 = 192,842.28 : x
  2. Step 2: Convert to fraction form
    345,794.42/477,198.39 = 192,842.28/x
  3. Step 3: Cross multiply
    345,794.42x = 477,198.39 × 192,842.28
  4. Step 4: Simplify right side
    345,794.42x = 92,024,025,539.93
  5. Step 5: Solve for x
    x = 92,024,025,539.93/345,794.42
  6. Step 6: Final answer
    x = 266,123.52

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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.