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Finding the Fourth Proportional to 290,749.23, 401,175.11 and 169,867.17

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Solution

The fourth proportional to 290,749.23, 401,175.11 and 169,867.17 is: 234,382.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,749.23 : 401,175.11 = 169,867.17 : x
  2. Step 2: Convert to fraction form
    290,749.23/401,175.11 = 169,867.17/x
  3. Step 3: Cross multiply
    290,749.23x = 401,175.11 × 169,867.17
  4. Step 4: Simplify right side
    290,749.23x = 68,146,481,034.81
  5. Step 5: Solve for x
    x = 68,146,481,034.81/290,749.23
  6. Step 6: Final answer
    x = 234,382.33

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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.