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Finding the Fourth Proportional to 407,668.33, 562,563.48 and 226,391.82

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Solution

The fourth proportional to 407,668.33, 562,563.48 and 226,391.82 is: 312,410.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,668.33 : 562,563.48 = 226,391.82 : x
  2. Step 2: Convert to fraction form
    407,668.33/562,563.48 = 226,391.82/x
  3. Step 3: Cross multiply
    407,668.33x = 562,563.48 × 226,391.82
  4. Step 4: Simplify right side
    407,668.33x = 127,359,770,102.73
  5. Step 5: Solve for x
    x = 127,359,770,102.73/407,668.33
  6. Step 6: Final answer
    x = 312,410.26

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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.