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Finding the Fourth Proportional to 358,708.50, 494,974.40 and 205,738.79

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Solution

The fourth proportional to 358,708.50, 494,974.40 and 205,738.79 is: 283,894.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,708.50 : 494,974.40 = 205,738.79 : x
  2. Step 2: Convert to fraction form
    358,708.50/494,974.40 = 205,738.79/x
  3. Step 3: Cross multiply
    358,708.50x = 494,974.40 × 205,738.79
  4. Step 4: Simplify right side
    358,708.50x = 101,835,430,633.41
  5. Step 5: Solve for x
    x = 101,835,430,633.41/358,708.50
  6. Step 6: Final answer
    x = 283,894.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.