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Finding the Fourth Proportional to 294,993.39, 407,090.12 and 160,857.39

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Solution

The fourth proportional to 294,993.39, 407,090.12 and 160,857.39 is: 221,982.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,993.39 : 407,090.12 = 160,857.39 : x
  2. Step 2: Convert to fraction form
    294,993.39/407,090.12 = 160,857.39/x
  3. Step 3: Cross multiply
    294,993.39x = 407,090.12 × 160,857.39
  4. Step 4: Simplify right side
    294,993.39x = 65,483,452,564.68
  5. Step 5: Solve for x
    x = 65,483,452,564.68/294,993.39
  6. Step 6: Final answer
    x = 221,982.78

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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.