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Finding the Fourth Proportional to 405,024.62, 559,093.32 and 267,181.64

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Solution

The fourth proportional to 405,024.62, 559,093.32 and 267,181.64 is: 368,815.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,024.62 : 559,093.32 = 267,181.64 : x
  2. Step 2: Convert to fraction form
    405,024.62/559,093.32 = 267,181.64/x
  3. Step 3: Cross multiply
    405,024.62x = 559,093.32 × 267,181.64
  4. Step 4: Simplify right side
    405,024.62x = 149,379,470,150.65
  5. Step 5: Solve for x
    x = 149,379,470,150.65/405,024.62
  6. Step 6: Final answer
    x = 368,815.78

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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.