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Finding the Fourth Proportional to 298,896.36, 412,476.55 and 162,930.57

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Solution

The fourth proportional to 298,896.36, 412,476.55 and 162,930.57 is: 224,843.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,896.36 : 412,476.55 = 162,930.57 : x
  2. Step 2: Convert to fraction form
    298,896.36/412,476.55 = 162,930.57/x
  3. Step 3: Cross multiply
    298,896.36x = 412,476.55 × 162,930.57
  4. Step 4: Simplify right side
    298,896.36x = 67,205,038,995.81
  5. Step 5: Solve for x
    x = 67,205,038,995.81/298,896.36
  6. Step 6: Final answer
    x = 224,843.95

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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.