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Finding the Fourth Proportional to 278,414.82, 384,208.38 and 163,706.40

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Solution

The fourth proportional to 278,414.82, 384,208.38 and 163,706.40 is: 225,912.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,414.82 : 384,208.38 = 163,706.40 : x
  2. Step 2: Convert to fraction form
    278,414.82/384,208.38 = 163,706.40/x
  3. Step 3: Cross multiply
    278,414.82x = 384,208.38 × 163,706.40
  4. Step 4: Simplify right side
    278,414.82x = 62,897,370,739.63
  5. Step 5: Solve for x
    x = 62,897,370,739.63/278,414.82
  6. Step 6: Final answer
    x = 225,912.44

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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.