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Finding the Fourth Proportional to 277,946.92, 416,914.62 and 67,585.96

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Solution

The fourth proportional to 277,946.92, 416,914.62 and 67,585.96 is: 101,377.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,946.92 : 416,914.62 = 67,585.96 : x
  2. Step 2: Convert to fraction form
    277,946.92/416,914.62 = 67,585.96/x
  3. Step 3: Cross multiply
    277,946.92x = 416,914.62 × 67,585.96
  4. Step 4: Simplify right side
    277,946.92x = 28,177,574,830.74
  5. Step 5: Solve for x
    x = 28,177,574,830.74/277,946.92
  6. Step 6: Final answer
    x = 101,377.54

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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.