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Finding the Fourth Proportional to 416,426.67, 574,668.99 and 225,440.06

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Solution

The fourth proportional to 416,426.67, 574,668.99 and 225,440.06 is: 311,107.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,426.67 : 574,668.99 = 225,440.06 : x
  2. Step 2: Convert to fraction form
    416,426.67/574,668.99 = 225,440.06/x
  3. Step 3: Cross multiply
    416,426.67x = 574,668.99 × 225,440.06
  4. Step 4: Simplify right side
    416,426.67x = 129,553,408,712.39
  5. Step 5: Solve for x
    x = 129,553,408,712.39/416,426.67
  6. Step 6: Final answer
    x = 311,107.38

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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.