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Finding the Fourth Proportional to 298,816.29, 412,354.44 and 162,847.33

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Solution

The fourth proportional to 298,816.29, 412,354.44 and 162,847.33 is: 224,722.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,816.29 : 412,354.44 = 162,847.33 : x
  2. Step 2: Convert to fraction form
    298,816.29/412,354.44 = 162,847.33/x
  3. Step 3: Cross multiply
    298,816.29x = 412,354.44 × 162,847.33
  4. Step 4: Simplify right side
    298,816.29x = 67,150,818,536.76
  5. Step 5: Solve for x
    x = 67,150,818,536.76/298,816.29
  6. Step 6: Final answer
    x = 224,722.75

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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.