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Finding the Fourth Proportional to 509,853.89, 764,091.90 and 194,138.57

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Solution

The fourth proportional to 509,853.89, 764,091.90 and 194,138.57 is: 290,945.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,853.89 : 764,091.90 = 194,138.57 : x
  2. Step 2: Convert to fraction form
    509,853.89/764,091.90 = 194,138.57/x
  3. Step 3: Cross multiply
    509,853.89x = 764,091.90 × 194,138.57
  4. Step 4: Simplify right side
    509,853.89x = 148,339,704,994.12
  5. Step 5: Solve for x
    x = 148,339,704,994.12/509,853.89
  6. Step 6: Final answer
    x = 290,945.52

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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.