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Finding the Fourth Proportional to 273,584.96, 410,521.88 and 194,136.24

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Solution

The fourth proportional to 273,584.96, 410,521.88 and 194,136.24 is: 291,306.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,584.96 : 410,521.88 = 194,136.24 : x
  2. Step 2: Convert to fraction form
    273,584.96/410,521.88 = 194,136.24/x
  3. Step 3: Cross multiply
    273,584.96x = 410,521.88 × 194,136.24
  4. Step 4: Simplify right side
    273,584.96x = 79,697,174,220.93
  5. Step 5: Solve for x
    x = 79,697,174,220.93/273,584.96
  6. Step 6: Final answer
    x = 291,306.85

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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.