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Finding the Fourth Proportional to 297,803.37, 411,064.43 and 190,661.97

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Solution

The fourth proportional to 297,803.37, 411,064.43 and 190,661.97 is: 263,174.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,803.37 : 411,064.43 = 190,661.97 : x
  2. Step 2: Convert to fraction form
    297,803.37/411,064.43 = 190,661.97/x
  3. Step 3: Cross multiply
    297,803.37x = 411,064.43 × 190,661.97
  4. Step 4: Simplify right side
    297,803.37x = 78,374,353,067.42
  5. Step 5: Solve for x
    x = 78,374,353,067.42/297,803.37
  6. Step 6: Final answer
    x = 263,174.84

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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.