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Finding the Fourth Proportional to 324,794.54, 447,994.06 and 211,770.38

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Solution

The fourth proportional to 324,794.54, 447,994.06 and 211,770.38 is: 292,098.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,794.54 : 447,994.06 = 211,770.38 : x
  2. Step 2: Convert to fraction form
    324,794.54/447,994.06 = 211,770.38/x
  3. Step 3: Cross multiply
    324,794.54x = 447,994.06 × 211,770.38
  4. Step 4: Simplify right side
    324,794.54x = 94,871,870,083.97
  5. Step 5: Solve for x
    x = 94,871,870,083.97/324,794.54
  6. Step 6: Final answer
    x = 292,098.11

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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.