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Finding the Fourth Proportional to 273,296.75, 410,014.32 and 193,491.07

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Solution

The fourth proportional to 273,296.75, 410,014.32 and 193,491.07 is: 290,285.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,296.75 : 410,014.32 = 193,491.07 : x
  2. Step 2: Convert to fraction form
    273,296.75/410,014.32 = 193,491.07/x
  3. Step 3: Cross multiply
    273,296.75x = 410,014.32 × 193,491.07
  4. Step 4: Simplify right side
    273,296.75x = 79,334,107,437.01
  5. Step 5: Solve for x
    x = 79,334,107,437.01/273,296.75
  6. Step 6: Final answer
    x = 290,285.59

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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.