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Finding the Fourth Proportional to 329,208.86, 454,293.24 and 206,764.46

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Solution

The fourth proportional to 329,208.86, 454,293.24 and 206,764.46 is: 285,325.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,208.86 : 454,293.24 = 206,764.46 : x
  2. Step 2: Convert to fraction form
    329,208.86/454,293.24 = 206,764.46/x
  3. Step 3: Cross multiply
    329,208.86x = 454,293.24 × 206,764.46
  4. Step 4: Simplify right side
    329,208.86x = 93,931,696,450.25
  5. Step 5: Solve for x
    x = 93,931,696,450.25/329,208.86
  6. Step 6: Final answer
    x = 285,325.54

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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.