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Finding the Fourth Proportional to 277,406.62, 416,110 and 67,044.54

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Solution

The fourth proportional to 277,406.62, 416,110 and 67,044.54 is: 100,566.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,406.62 : 416,110 = 67,044.54 : x
  2. Step 2: Convert to fraction form
    277,406.62/416,110 = 67,044.54/x
  3. Step 3: Cross multiply
    277,406.62x = 416,110 × 67,044.54
  4. Step 4: Simplify right side
    277,406.62x = 27,897,903,539.40
  5. Step 5: Solve for x
    x = 27,897,903,539.40/277,406.62
  6. Step 6: Final answer
    x = 100,566.83

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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.