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Finding the Fourth Proportional to 227,713.36, 313,548.80 and 206,353.66

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Solution

The fourth proportional to 227,713.36, 313,548.80 and 206,353.66 is: 284,137.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,713.36 : 313,548.80 = 206,353.66 : x
  2. Step 2: Convert to fraction form
    227,713.36/313,548.80 = 206,353.66/x
  3. Step 3: Cross multiply
    227,713.36x = 313,548.80 × 206,353.66
  4. Step 4: Simplify right side
    227,713.36x = 64,701,942,468.61
  5. Step 5: Solve for x
    x = 64,701,942,468.61/227,713.36
  6. Step 6: Final answer
    x = 284,137.67

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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.