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Finding the Fourth Proportional to 300,491.16, 414,662.04 and 164,499.05

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Solution

The fourth proportional to 300,491.16, 414,662.04 and 164,499.05 is: 227,000.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,491.16 : 414,662.04 = 164,499.05 : x
  2. Step 2: Convert to fraction form
    300,491.16/414,662.04 = 164,499.05/x
  3. Step 3: Cross multiply
    300,491.16x = 414,662.04 × 164,499.05
  4. Step 4: Simplify right side
    300,491.16x = 68,211,509,577.75
  5. Step 5: Solve for x
    x = 68,211,509,577.75/300,491.16
  6. Step 6: Final answer
    x = 227,000.05

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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.