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Finding the Fourth Proportional to 273,589.49, 410,528.69 and 194,140.87

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Solution

The fourth proportional to 273,589.49, 410,528.69 and 194,140.87 is: 291,313.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,589.49 : 410,528.69 = 194,140.87 : x
  2. Step 2: Convert to fraction form
    273,589.49/410,528.69 = 194,140.87/x
  3. Step 3: Cross multiply
    273,589.49x = 410,528.69 × 194,140.87
  4. Step 4: Simplify right side
    273,589.49x = 79,700,397,036.56
  5. Step 5: Solve for x
    x = 79,700,397,036.56/273,589.49
  6. Step 6: Final answer
    x = 291,313.81

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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.