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Finding the Fourth Proportional to 301,945.44, 416,684.71 and 174,629.23

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Solution

The fourth proportional to 301,945.44, 416,684.71 and 174,629.23 is: 240,988.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,945.44 : 416,684.71 = 174,629.23 : x
  2. Step 2: Convert to fraction form
    301,945.44/416,684.71 = 174,629.23/x
  3. Step 3: Cross multiply
    301,945.44x = 416,684.71 × 174,629.23
  4. Step 4: Simplify right side
    301,945.44x = 72,765,330,060.07
  5. Step 5: Solve for x
    x = 72,765,330,060.07/301,945.44
  6. Step 6: Final answer
    x = 240,988.34

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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.