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Finding the Fourth Proportional to 345,501.69, 476,629.36 and 202,173

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Solution

The fourth proportional to 345,501.69, 476,629.36 and 202,173 is: 278,903.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,501.69 : 476,629.36 = 202,173 : x
  2. Step 2: Convert to fraction form
    345,501.69/476,629.36 = 202,173/x
  3. Step 3: Cross multiply
    345,501.69x = 476,629.36 × 202,173
  4. Step 4: Simplify right side
    345,501.69x = 96,361,587,093.85
  5. Step 5: Solve for x
    x = 96,361,587,093.85/345,501.69
  6. Step 6: Final answer
    x = 278,903.37

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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.