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Finding the Fourth Proportional to 377,561.84, 520,917.99 and 214,191.41

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Solution

The fourth proportional to 377,561.84, 520,917.99 and 214,191.41 is: 295,517.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,561.84 : 520,917.99 = 214,191.41 : x
  2. Step 2: Convert to fraction form
    377,561.84/520,917.99 = 214,191.41/x
  3. Step 3: Cross multiply
    377,561.84x = 520,917.99 × 214,191.41
  4. Step 4: Simplify right side
    377,561.84x = 111,576,156,167.88
  5. Step 5: Solve for x
    x = 111,576,156,167.88/377,561.84
  6. Step 6: Final answer
    x = 295,517.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.