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Finding the Fourth Proportional to 417,694.56, 626,441.48 and 192,838.96

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Solution

The fourth proportional to 417,694.56, 626,441.48 and 192,838.96 is: 289,212.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,694.56 : 626,441.48 = 192,838.96 : x
  2. Step 2: Convert to fraction form
    417,694.56/626,441.48 = 192,838.96/x
  3. Step 3: Cross multiply
    417,694.56x = 626,441.48 × 192,838.96
  4. Step 4: Simplify right side
    417,694.56x = 120,802,323,504.06
  5. Step 5: Solve for x
    x = 120,802,323,504.06/417,694.56
  6. Step 6: Final answer
    x = 289,212.11

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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.