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Finding the Fourth Proportional to 300,234.28, 412,589.16 and 286,357

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Solution

The fourth proportional to 300,234.28, 412,589.16 and 286,357 is: 393,518.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,234.28 : 412,589.16 = 286,357 : x
  2. Step 2: Convert to fraction form
    300,234.28/412,589.16 = 286,357/x
  3. Step 3: Cross multiply
    300,234.28x = 412,589.16 × 286,357
  4. Step 4: Simplify right side
    300,234.28x = 118,147,794,090.12
  5. Step 5: Solve for x
    x = 118,147,794,090.12/300,234.28
  6. Step 6: Final answer
    x = 393,518.67

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.