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Finding the Fourth Proportional to 273,361.75, 409,710.19 and 193,422.76

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Solution

The fourth proportional to 273,361.75, 409,710.19 and 193,422.76 is: 289,898.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,361.75 : 409,710.19 = 193,422.76 : x
  2. Step 2: Convert to fraction form
    273,361.75/409,710.19 = 193,422.76/x
  3. Step 3: Cross multiply
    273,361.75x = 409,710.19 × 193,422.76
  4. Step 4: Simplify right side
    273,361.75x = 79,247,274,572.61
  5. Step 5: Solve for x
    x = 79,247,274,572.61/273,361.75
  6. Step 6: Final answer
    x = 289,898.91

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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.