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Finding the Fourth Proportional to 414,556.76, 620,838.65 and 236,524.03

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Solution

The fourth proportional to 414,556.76, 620,838.65 and 236,524.03 is: 354,217.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,556.76 : 620,838.65 = 236,524.03 : x
  2. Step 2: Convert to fraction form
    414,556.76/620,838.65 = 236,524.03/x
  3. Step 3: Cross multiply
    414,556.76x = 620,838.65 × 236,524.03
  4. Step 4: Simplify right side
    414,556.76x = 146,843,258,516.97
  5. Step 5: Solve for x
    x = 146,843,258,516.97/414,556.76
  6. Step 6: Final answer
    x = 354,217.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.