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Finding the Fourth Proportional to 405,915.74, 608,861 and 192,837

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Solution

The fourth proportional to 405,915.74, 608,861 and 192,837 is: 289,249.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,915.74 : 608,861 = 192,837 : x
  2. Step 2: Convert to fraction form
    405,915.74/608,861 = 192,837/x
  3. Step 3: Cross multiply
    405,915.74x = 608,861 × 192,837
  4. Step 4: Simplify right side
    405,915.74x = 117,410,928,657
  5. Step 5: Solve for x
    x = 117,410,928,657/405,915.74
  6. Step 6: Final answer
    x = 289,249.51

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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.