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Finding the Fourth Proportional to 277,278.20, 416,111.70 and 177,680.60

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Solution

The fourth proportional to 277,278.20, 416,111.70 and 177,680.60 is: 266,645.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,278.20 : 416,111.70 = 177,680.60 : x
  2. Step 2: Convert to fraction form
    277,278.20/416,111.70 = 177,680.60/x
  3. Step 3: Cross multiply
    277,278.20x = 416,111.70 × 177,680.60
  4. Step 4: Simplify right side
    277,278.20x = 73,934,976,523.02
  5. Step 5: Solve for x
    x = 73,934,976,523.02/277,278.20
  6. Step 6: Final answer
    x = 266,645.47

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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.