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Finding the Fourth Proportional to 298,054.89, 411,107.26 and 196,047.74

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Solution

The fourth proportional to 298,054.89, 411,107.26 and 196,047.74 is: 270,408.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,054.89 : 411,107.26 = 196,047.74 : x
  2. Step 2: Convert to fraction form
    298,054.89/411,107.26 = 196,047.74/x
  3. Step 3: Cross multiply
    298,054.89x = 411,107.26 × 196,047.74
  4. Step 4: Simplify right side
    298,054.89x = 80,596,646,184.82
  5. Step 5: Solve for x
    x = 80,596,646,184.82/298,054.89
  6. Step 6: Final answer
    x = 270,408.74

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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.