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Finding the Fourth Proportional to 496,846.44, 745,393.86 and 197,227.98

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Solution

The fourth proportional to 496,846.44, 745,393.86 and 197,227.98 is: 295,891.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,846.44 : 745,393.86 = 197,227.98 : x
  2. Step 2: Convert to fraction form
    496,846.44/745,393.86 = 197,227.98/x
  3. Step 3: Cross multiply
    496,846.44x = 745,393.86 × 197,227.98
  4. Step 4: Simplify right side
    496,846.44x = 147,012,525,312.20
  5. Step 5: Solve for x
    x = 147,012,525,312.20/496,846.44
  6. Step 6: Final answer
    x = 295,891.27

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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.