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Finding the Fourth Proportional to 277,616.75, 416,596.50 and 109,107.45

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Solution

The fourth proportional to 277,616.75, 416,596.50 and 109,107.45 is: 163,728.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,616.75 : 416,596.50 = 109,107.45 : x
  2. Step 2: Convert to fraction form
    277,616.75/416,596.50 = 109,107.45/x
  3. Step 3: Cross multiply
    277,616.75x = 416,596.50 × 109,107.45
  4. Step 4: Simplify right side
    277,616.75x = 45,453,781,793.93
  5. Step 5: Solve for x
    x = 45,453,781,793.93/277,616.75
  6. Step 6: Final answer
    x = 163,728.53

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1.5x scale

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.