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Finding the Fourth Proportional to 300,458.41, 414,632.71 and 164,500.99

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Solution

The fourth proportional to 300,458.41, 414,632.71 and 164,500.99 is: 227,011.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,458.41 : 414,632.71 = 164,500.99 : x
  2. Step 2: Convert to fraction form
    300,458.41/414,632.71 = 164,500.99/x
  3. Step 3: Cross multiply
    300,458.41x = 414,632.71 × 164,500.99
  4. Step 4: Simplify right side
    300,458.41x = 68,207,491,857.42
  5. Step 5: Solve for x
    x = 68,207,491,857.42/300,458.41
  6. Step 6: Final answer
    x = 227,011.42

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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.