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Finding the Fourth Proportional to 294,993.70, 407,091.18 and 160,857.70

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Solution

The fourth proportional to 294,993.70, 407,091.18 and 160,857.70 is: 221,983.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,993.70 : 407,091.18 = 160,857.70 : x
  2. Step 2: Convert to fraction form
    294,993.70/407,091.18 = 160,857.70/x
  3. Step 3: Cross multiply
    294,993.70x = 407,091.18 × 160,857.70
  4. Step 4: Simplify right side
    294,993.70x = 65,483,750,905.09
  5. Step 5: Solve for x
    x = 65,483,750,905.09/294,993.70
  6. Step 6: Final answer
    x = 221,983.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.