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Finding the Fourth Proportional to 349,135.86, 481,848.57 and 196,174.38

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Solution

The fourth proportional to 349,135.86, 481,848.57 and 196,174.38 is: 270,743.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,135.86 : 481,848.57 = 196,174.38 : x
  2. Step 2: Convert to fraction form
    349,135.86/481,848.57 = 196,174.38/x
  3. Step 3: Cross multiply
    349,135.86x = 481,848.57 × 196,174.38
  4. Step 4: Simplify right side
    349,135.86x = 94,526,344,473.64
  5. Step 5: Solve for x
    x = 94,526,344,473.64/349,135.86
  6. Step 6: Final answer
    x = 270,743.73

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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.