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Finding the Fourth Proportional to 509,142.65, 702,538.79 and 294,241.23

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Solution

The fourth proportional to 509,142.65, 702,538.79 and 294,241.23 is: 406,007.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,142.65 : 702,538.79 = 294,241.23 : x
  2. Step 2: Convert to fraction form
    509,142.65/702,538.79 = 294,241.23/x
  3. Step 3: Cross multiply
    509,142.65x = 702,538.79 × 294,241.23
  4. Step 4: Simplify right side
    509,142.65x = 206,715,876,221.11
  5. Step 5: Solve for x
    x = 206,715,876,221.11/509,142.65
  6. Step 6: Final answer
    x = 406,007.78

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