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Finding the Fourth Proportional to 298,782.68, 412,309.62 and 167,956.34

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Solution

The fourth proportional to 298,782.68, 412,309.62 and 167,956.34 is: 231,773.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,782.68 : 412,309.62 = 167,956.34 : x
  2. Step 2: Convert to fraction form
    298,782.68/412,309.62 = 167,956.34/x
  3. Step 3: Cross multiply
    298,782.68x = 412,309.62 × 167,956.34
  4. Step 4: Simplify right side
    298,782.68x = 69,250,014,721.99
  5. Step 5: Solve for x
    x = 69,250,014,721.99/298,782.68
  6. Step 6: Final answer
    x = 231,773.86

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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.