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Finding the Fourth Proportional to 456,906.52, 685,137.75 and 229,104.28

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Solution

The fourth proportional to 456,906.52, 685,137.75 and 229,104.28 is: 343,545.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,906.52 : 685,137.75 = 229,104.28 : x
  2. Step 2: Convert to fraction form
    456,906.52/685,137.75 = 229,104.28/x
  3. Step 3: Cross multiply
    456,906.52x = 685,137.75 × 229,104.28
  4. Step 4: Simplify right side
    456,906.52x = 156,967,990,914.57
  5. Step 5: Solve for x
    x = 156,967,990,914.57/456,906.52
  6. Step 6: Final answer
    x = 343,545.09

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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.