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Finding the Fourth Proportional to 286,447.48, 395,308.74 and 195,993.16

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Solution

The fourth proportional to 286,447.48, 395,308.74 and 195,993.16 is: 270,478.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,447.48 : 395,308.74 = 195,993.16 : x
  2. Step 2: Convert to fraction form
    286,447.48/395,308.74 = 195,993.16/x
  3. Step 3: Cross multiply
    286,447.48x = 395,308.74 × 195,993.16
  4. Step 4: Simplify right side
    286,447.48x = 77,477,809,128.22
  5. Step 5: Solve for x
    x = 77,477,809,128.22/286,447.48
  6. Step 6: Final answer
    x = 270,478.24

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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.