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Finding the Fourth Proportional to 537,499.84, 806,180.10 and 221,914.12

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Solution

The fourth proportional to 537,499.84, 806,180.10 and 221,914.12 is: 332,842.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,499.84 : 806,180.10 = 221,914.12 : x
  2. Step 2: Convert to fraction form
    537,499.84/806,180.10 = 221,914.12/x
  3. Step 3: Cross multiply
    537,499.84x = 806,180.10 × 221,914.12
  4. Step 4: Simplify right side
    537,499.84x = 178,902,747,453.01
  5. Step 5: Solve for x
    x = 178,902,747,453.01/537,499.84
  6. Step 6: Final answer
    x = 332,842.42

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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.