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Finding the Fourth Proportional to 398,841, 550,400.58 and 219,993

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Solution

The fourth proportional to 398,841, 550,400.58 and 219,993 is: 303,590.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,841 : 550,400.58 = 219,993 : x
  2. Step 2: Convert to fraction form
    398,841/550,400.58 = 219,993/x
  3. Step 3: Cross multiply
    398,841x = 550,400.58 × 219,993
  4. Step 4: Simplify right side
    398,841x = 121,084,274,795.94
  5. Step 5: Solve for x
    x = 121,084,274,795.94/398,841
  6. Step 6: Final answer
    x = 303,590.34

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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.