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Finding the Fourth Proportional to 298,879.52, 412,451.03 and 162,913.46

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Solution

The fourth proportional to 298,879.52, 412,451.03 and 162,913.46 is: 224,819.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,879.52 : 412,451.03 = 162,913.46 : x
  2. Step 2: Convert to fraction form
    298,879.52/412,451.03 = 162,913.46/x
  3. Step 3: Cross multiply
    298,879.52x = 412,451.03 × 162,913.46
  4. Step 4: Simplify right side
    298,879.52x = 67,193,821,501.04
  5. Step 5: Solve for x
    x = 67,193,821,501.04/298,879.52
  6. Step 6: Final answer
    x = 224,819.09

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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.