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Finding the Fourth Proportional to 277,654.64, 416,481.94 and 67,292.58

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Solution

The fourth proportional to 277,654.64, 416,481.94 and 67,292.58 is: 100,938.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,654.64 : 416,481.94 = 67,292.58 : x
  2. Step 2: Convert to fraction form
    277,654.64/416,481.94 = 67,292.58/x
  3. Step 3: Cross multiply
    277,654.64x = 416,481.94 × 67,292.58
  4. Step 4: Simplify right side
    277,654.64x = 28,026,144,266.01
  5. Step 5: Solve for x
    x = 28,026,144,266.01/277,654.64
  6. Step 6: Final answer
    x = 100,938.87

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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.