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Finding the Fourth Proportional to 298,210.97, 410,964.24 and 213,180.41

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Solution

The fourth proportional to 298,210.97, 410,964.24 and 213,180.41 is: 293,783.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,210.97 : 410,964.24 = 213,180.41 : x
  2. Step 2: Convert to fraction form
    298,210.97/410,964.24 = 213,180.41/x
  3. Step 3: Cross multiply
    298,210.97x = 410,964.24 × 213,180.41
  4. Step 4: Simplify right side
    298,210.97x = 87,609,525,178.54
  5. Step 5: Solve for x
    x = 87,609,525,178.54/298,210.97
  6. Step 6: Final answer
    x = 293,783.71

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1.5x scale

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.