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Finding the Fourth Proportional to 405,906.91, 608,847.80 and 192,828.21

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Solution

The fourth proportional to 405,906.91, 608,847.80 and 192,828.21 is: 289,236.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,906.91 : 608,847.80 = 192,828.21 : x
  2. Step 2: Convert to fraction form
    405,906.91/608,847.80 = 192,828.21/x
  3. Step 3: Cross multiply
    405,906.91x = 608,847.80 × 192,828.21
  4. Step 4: Simplify right side
    405,906.91x = 117,403,031,436.44
  5. Step 5: Solve for x
    x = 117,403,031,436.44/405,906.91
  6. Step 6: Final answer
    x = 289,236.35

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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.