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Finding the Fourth Proportional to 298,778.36, 412,303.67 and 167,952.02

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Solution

The fourth proportional to 298,778.36, 412,303.67 and 167,952.02 is: 231,767.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,778.36 : 412,303.67 = 167,952.02 : x
  2. Step 2: Convert to fraction form
    298,778.36/412,303.67 = 167,952.02/x
  3. Step 3: Cross multiply
    298,778.36x = 412,303.67 × 167,952.02
  4. Step 4: Simplify right side
    298,778.36x = 69,247,231,958.46
  5. Step 5: Solve for x
    x = 69,247,231,958.46/298,778.36
  6. Step 6: Final answer
    x = 231,767.90

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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.