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Finding the Fourth Proportional to 468,902.22, 647,085.69 and 254,042.30

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Solution

The fourth proportional to 468,902.22, 647,085.69 and 254,042.30 is: 350,578.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,902.22 : 647,085.69 = 254,042.30 : x
  2. Step 2: Convert to fraction form
    468,902.22/647,085.69 = 254,042.30/x
  3. Step 3: Cross multiply
    468,902.22x = 647,085.69 × 254,042.30
  4. Step 4: Simplify right side
    468,902.22x = 164,387,133,749.26
  5. Step 5: Solve for x
    x = 164,387,133,749.26/468,902.22
  6. Step 6: Final answer
    x = 350,578.71

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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.