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Finding the Fourth Proportional to 270,469, 405,222.36 and 230,621.86

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Solution

The fourth proportional to 270,469, 405,222.36 and 230,621.86 is: 345,522.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,469 : 405,222.36 = 230,621.86 : x
  2. Step 2: Convert to fraction form
    270,469/405,222.36 = 230,621.86/x
  3. Step 3: Cross multiply
    270,469x = 405,222.36 × 230,621.86
  4. Step 4: Simplify right side
    270,469x = 93,453,134,376.79
  5. Step 5: Solve for x
    x = 93,453,134,376.79/270,469
  6. Step 6: Final answer
    x = 345,522.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.