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Finding the Fourth Proportional to 398,851.39, 597,778.15 and 199,227.50

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Solution

The fourth proportional to 398,851.39, 597,778.15 and 199,227.50 is: 298,592.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,851.39 : 597,778.15 = 199,227.50 : x
  2. Step 2: Convert to fraction form
    398,851.39/597,778.15 = 199,227.50/x
  3. Step 3: Cross multiply
    398,851.39x = 597,778.15 × 199,227.50
  4. Step 4: Simplify right side
    398,851.39x = 119,093,846,379.13
  5. Step 5: Solve for x
    x = 119,093,846,379.13/398,851.39
  6. Step 6: Final answer
    x = 298,592.03

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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.