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Finding the Fourth Proportional to 277,693.56, 416,454.17 and 100,177.43

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Solution

The fourth proportional to 277,693.56, 416,454.17 and 100,177.43 is: 150,235.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,693.56 : 416,454.17 = 100,177.43 : x
  2. Step 2: Convert to fraction form
    277,693.56/416,454.17 = 100,177.43/x
  3. Step 3: Cross multiply
    277,693.56x = 416,454.17 × 100,177.43
  4. Step 4: Simplify right side
    277,693.56x = 41,719,305,880.23
  5. Step 5: Solve for x
    x = 41,719,305,880.23/277,693.56
  6. Step 6: Final answer
    x = 150,235.05

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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.