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Finding the Fourth Proportional to 383,912.43, 575,868.65 and 196,804.59

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Solution

The fourth proportional to 383,912.43, 575,868.65 and 196,804.59 is: 295,206.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,912.43 : 575,868.65 = 196,804.59 : x
  2. Step 2: Convert to fraction form
    383,912.43/575,868.65 = 196,804.59/x
  3. Step 3: Cross multiply
    383,912.43x = 575,868.65 × 196,804.59
  4. Step 4: Simplify right side
    383,912.43x = 113,333,592,573.08
  5. Step 5: Solve for x
    x = 113,333,592,573.08/383,912.43
  6. Step 6: Final answer
    x = 295,206.89

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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.