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Finding the Fourth Proportional to 405,200.40, 559,212.04 and 268,993.68

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Solution

The fourth proportional to 405,200.40, 559,212.04 and 268,993.68 is: 371,234.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,200.40 : 559,212.04 = 268,993.68 : x
  2. Step 2: Convert to fraction form
    405,200.40/559,212.04 = 268,993.68/x
  3. Step 3: Cross multiply
    405,200.40x = 559,212.04 × 268,993.68
  4. Step 4: Simplify right side
    405,200.40x = 150,424,504,539.91
  5. Step 5: Solve for x
    x = 150,424,504,539.91/405,200.40
  6. Step 6: Final answer
    x = 371,234.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.