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Finding the Fourth Proportional to 277,481.37, 382,802.16 and 162,701.73

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Solution

The fourth proportional to 277,481.37, 382,802.16 and 162,701.73 is: 224,456.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,481.37 : 382,802.16 = 162,701.73 : x
  2. Step 2: Convert to fraction form
    277,481.37/382,802.16 = 162,701.73/x
  3. Step 3: Cross multiply
    277,481.37x = 382,802.16 × 162,701.73
  4. Step 4: Simplify right side
    277,481.37x = 62,282,575,725.38
  5. Step 5: Solve for x
    x = 62,282,575,725.38/277,481.37
  6. Step 6: Final answer
    x = 224,456.79

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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.