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Finding the Fourth Proportional to 298,814.39, 412,363.85 and 162,848.33

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Solution

The fourth proportional to 298,814.39, 412,363.85 and 162,848.33 is: 224,730.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,814.39 : 412,363.85 = 162,848.33 : x
  2. Step 2: Convert to fraction form
    298,814.39/412,363.85 = 162,848.33/x
  3. Step 3: Cross multiply
    298,814.39x = 412,363.85 × 162,848.33
  4. Step 4: Simplify right side
    298,814.39x = 67,152,764,324.87
  5. Step 5: Solve for x
    x = 67,152,764,324.87/298,814.39
  6. Step 6: Final answer
    x = 224,730.69

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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.