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Finding the Fourth Proportional to 414,072.45, 571,406.69 and 232,791.99

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Solution

The fourth proportional to 414,072.45, 571,406.69 and 232,791.99 is: 321,245.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,072.45 : 571,406.69 = 232,791.99 : x
  2. Step 2: Convert to fraction form
    414,072.45/571,406.69 = 232,791.99/x
  3. Step 3: Cross multiply
    414,072.45x = 571,406.69 × 232,791.99
  4. Step 4: Simplify right side
    414,072.45x = 133,018,899,300.45
  5. Step 5: Solve for x
    x = 133,018,899,300.45/414,072.45
  6. Step 6: Final answer
    x = 321,245.47

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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.