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Finding the Fourth Proportional to 273,568.80, 410,497.69 and 194,120.16

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Solution

The fourth proportional to 273,568.80, 410,497.69 and 194,120.16 is: 291,282.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,568.80 : 410,497.69 = 194,120.16 : x
  2. Step 2: Convert to fraction form
    273,568.80/410,497.69 = 194,120.16/x
  3. Step 3: Cross multiply
    273,568.80x = 410,497.69 × 194,120.16
  4. Step 4: Simplify right side
    273,568.80x = 79,685,877,262.43
  5. Step 5: Solve for x
    x = 79,685,877,262.43/273,568.80
  6. Step 6: Final answer
    x = 291,282.77

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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.