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Finding the Fourth Proportional to 290,816.94, 401,323.14 and 161,754.06

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Solution

The fourth proportional to 290,816.94, 401,323.14 and 161,754.06 is: 223,218.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,816.94 : 401,323.14 = 161,754.06 : x
  2. Step 2: Convert to fraction form
    290,816.94/401,323.14 = 161,754.06/x
  3. Step 3: Cross multiply
    290,816.94x = 401,323.14 × 161,754.06
  4. Step 4: Simplify right side
    290,816.94x = 64,915,647,266.95
  5. Step 5: Solve for x
    x = 64,915,647,266.95/290,816.94
  6. Step 6: Final answer
    x = 223,218.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.