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Finding the Fourth Proportional to 298,713.36, 412,205.22 and 177,863.52

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Solution

The fourth proportional to 298,713.36, 412,205.22 and 177,863.52 is: 245,440.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,713.36 : 412,205.22 = 177,863.52 : x
  2. Step 2: Convert to fraction form
    298,713.36/412,205.22 = 177,863.52/x
  3. Step 3: Cross multiply
    298,713.36x = 412,205.22 × 177,863.52
  4. Step 4: Simplify right side
    298,713.36x = 73,316,271,391.57
  5. Step 5: Solve for x
    x = 73,316,271,391.57/298,713.36
  6. Step 6: Final answer
    x = 245,440.22

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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.