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Finding the Fourth Proportional to 298,833.99, 412,378.89 and 162,865.03

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Solution

The fourth proportional to 298,833.99, 412,378.89 and 162,865.03 is: 224,747.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,833.99 : 412,378.89 = 162,865.03 : x
  2. Step 2: Convert to fraction form
    298,833.99/412,378.89 = 162,865.03/x
  3. Step 3: Cross multiply
    298,833.99x = 412,378.89 × 162,865.03
  4. Step 4: Simplify right side
    298,833.99x = 67,162,100,291.22
  5. Step 5: Solve for x
    x = 67,162,100,291.22/298,833.99
  6. Step 6: Final answer
    x = 224,747.19

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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.