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Finding the Fourth Proportional to 405,903.22, 608,842.27 and 192,824.52

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Solution

The fourth proportional to 405,903.22, 608,842.27 and 192,824.52 is: 289,230.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,903.22 : 608,842.27 = 192,824.52 : x
  2. Step 2: Convert to fraction form
    405,903.22/608,842.27 = 192,824.52/x
  3. Step 3: Cross multiply
    405,903.22x = 608,842.27 × 192,824.52
  4. Step 4: Simplify right side
    405,903.22x = 117,399,716,426.33
  5. Step 5: Solve for x
    x = 117,399,716,426.33/405,903.22
  6. Step 6: Final answer
    x = 289,230.81

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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.