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Finding the Fourth Proportional to 297,986.82, 444,173.10 and 274,071.98

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Solution

The fourth proportional to 297,986.82, 444,173.10 and 274,071.98 is: 408,526.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,986.82 : 444,173.10 = 274,071.98 : x
  2. Step 2: Convert to fraction form
    297,986.82/444,173.10 = 274,071.98/x
  3. Step 3: Cross multiply
    297,986.82x = 444,173.10 × 274,071.98
  4. Step 4: Simplify right side
    297,986.82x = 121,735,398,758.87
  5. Step 5: Solve for x
    x = 121,735,398,758.87/297,986.82
  6. Step 6: Final answer
    x = 408,526.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.