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Finding the Fourth Proportional to 383,912.18, 575,868.27 and 196,804.34

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Solution

The fourth proportional to 383,912.18, 575,868.27 and 196,804.34 is: 295,206.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,912.18 : 575,868.27 = 196,804.34 : x
  2. Step 2: Convert to fraction form
    383,912.18/575,868.27 = 196,804.34/x
  3. Step 3: Cross multiply
    383,912.18x = 575,868.27 × 196,804.34
  4. Step 4: Simplify right side
    383,912.18x = 113,333,374,804.29
  5. Step 5: Solve for x
    x = 113,333,374,804.29/383,912.18
  6. Step 6: Final answer
    x = 295,206.51

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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.