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Finding the Fourth Proportional to 311,908.49, 430,434.02 and 168,668.49

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Solution

The fourth proportional to 311,908.49, 430,434.02 and 168,668.49 is: 232,762.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,908.49 : 430,434.02 = 168,668.49 : x
  2. Step 2: Convert to fraction form
    311,908.49/430,434.02 = 168,668.49/x
  3. Step 3: Cross multiply
    311,908.49x = 430,434.02 × 168,668.49
  4. Step 4: Simplify right side
    311,908.49x = 72,600,656,198.03
  5. Step 5: Solve for x
    x = 72,600,656,198.03/311,908.49
  6. Step 6: Final answer
    x = 232,762.68

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