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Finding the Fourth Proportional to 436,385.31, 654,571.39 and 196,329.69

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Solution

The fourth proportional to 436,385.31, 654,571.39 and 196,329.69 is: 294,491.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,385.31 : 654,571.39 = 196,329.69 : x
  2. Step 2: Convert to fraction form
    436,385.31/654,571.39 = 196,329.69/x
  3. Step 3: Cross multiply
    436,385.31x = 654,571.39 × 196,329.69
  4. Step 4: Simplify right side
    436,385.31x = 128,511,798,081.57
  5. Step 5: Solve for x
    x = 128,511,798,081.57/436,385.31
  6. Step 6: Final answer
    x = 294,491.58

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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.