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Finding the Fourth Proportional to 290,716.25, 401,220.38 and 166,549.02

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Solution

The fourth proportional to 290,716.25, 401,220.38 and 166,549.02 is: 229,855.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,716.25 : 401,220.38 = 166,549.02 : x
  2. Step 2: Convert to fraction form
    290,716.25/401,220.38 = 166,549.02/x
  3. Step 3: Cross multiply
    290,716.25x = 401,220.38 × 166,549.02
  4. Step 4: Simplify right side
    290,716.25x = 66,822,859,086.93
  5. Step 5: Solve for x
    x = 66,822,859,086.93/290,716.25
  6. Step 6: Final answer
    x = 229,855.95

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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.