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Finding the Fourth Proportional to 509,853.76, 764,091.71 and 194,138.44

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Solution

The fourth proportional to 509,853.76, 764,091.71 and 194,138.44 is: 290,945.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,853.76 : 764,091.71 = 194,138.44 : x
  2. Step 2: Convert to fraction form
    509,853.76/764,091.71 = 194,138.44/x
  3. Step 3: Cross multiply
    509,853.76x = 764,091.71 × 194,138.44
  4. Step 4: Simplify right side
    509,853.76x = 148,339,571,171.45
  5. Step 5: Solve for x
    x = 148,339,571,171.45/509,853.76
  6. Step 6: Final answer
    x = 290,945.33

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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.