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Finding the Fourth Proportional to 270,003.70, 405,005.55 and 194,965.30

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Solution

The fourth proportional to 270,003.70, 405,005.55 and 194,965.30 is: 292,447.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,003.70 : 405,005.55 = 194,965.30 : x
  2. Step 2: Convert to fraction form
    270,003.70/405,005.55 = 194,965.30/x
  3. Step 3: Cross multiply
    270,003.70x = 405,005.55 × 194,965.30
  4. Step 4: Simplify right side
    270,003.70x = 78,962,028,557.42
  5. Step 5: Solve for x
    x = 78,962,028,557.42/270,003.70
  6. Step 6: Final answer
    x = 292,447.95

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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.