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Finding the Fourth Proportional to 344,409, 475,290.09 and 189,366.85

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Solution

The fourth proportional to 344,409, 475,290.09 and 189,366.85 is: 261,329.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,409 : 475,290.09 = 189,366.85 : x
  2. Step 2: Convert to fraction form
    344,409/475,290.09 = 189,366.85/x
  3. Step 3: Cross multiply
    344,409x = 475,290.09 × 189,366.85
  4. Step 4: Simplify right side
    344,409x = 90,004,187,179.52
  5. Step 5: Solve for x
    x = 90,004,187,179.52/344,409
  6. Step 6: Final answer
    x = 261,329.37

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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.