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Finding the Fourth Proportional to 294,917.36, 406,981.07 and 164,090.11

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Solution

The fourth proportional to 294,917.36, 406,981.07 and 164,090.11 is: 226,441.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,917.36 : 406,981.07 = 164,090.11 : x
  2. Step 2: Convert to fraction form
    294,917.36/406,981.07 = 164,090.11/x
  3. Step 3: Cross multiply
    294,917.36x = 406,981.07 × 164,090.11
  4. Step 4: Simplify right side
    294,917.36x = 66,781,568,544.22
  5. Step 5: Solve for x
    x = 66,781,568,544.22/294,917.36
  6. Step 6: Final answer
    x = 226,441.63

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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.