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Finding the Fourth Proportional to 277,212.20, 416,012.70 and 177,614.60

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Solution

The fourth proportional to 277,212.20, 416,012.70 and 177,614.60 is: 266,546.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,212.20 : 416,012.70 = 177,614.60 : x
  2. Step 2: Convert to fraction form
    277,212.20/416,012.70 = 177,614.60/x
  3. Step 3: Cross multiply
    277,212.20x = 416,012.70 × 177,614.60
  4. Step 4: Simplify right side
    277,212.20x = 73,889,929,305.42
  5. Step 5: Solve for x
    x = 73,889,929,305.42/277,212.20
  6. Step 6: Final answer
    x = 266,546.46

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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.