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Finding the Fourth Proportional to 398,850.78, 597,777.24 and 199,226.89

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Solution

The fourth proportional to 398,850.78, 597,777.24 and 199,226.89 is: 298,591.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,850.78 : 597,777.24 = 199,226.89 : x
  2. Step 2: Convert to fraction form
    398,850.78/597,777.24 = 199,226.89/x
  3. Step 3: Cross multiply
    398,850.78x = 597,777.24 × 199,226.89
  4. Step 4: Simplify right side
    398,850.78x = 119,093,300,437.98
  5. Step 5: Solve for x
    x = 119,093,300,437.98/398,850.78
  6. Step 6: Final answer
    x = 298,591.12

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1.5x scale

Why These Related Problems?

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