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Finding the Fourth Proportional to 277,844.60, 416,766.90 and 266,180.60

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Solution

The fourth proportional to 277,844.60, 416,766.90 and 266,180.60 is: 399,270.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,844.60 : 416,766.90 = 266,180.60 : x
  2. Step 2: Convert to fraction form
    277,844.60/416,766.90 = 266,180.60/x
  3. Step 3: Cross multiply
    277,844.60x = 416,766.90 × 266,180.60
  4. Step 4: Simplify right side
    277,844.60x = 110,935,263,502.14
  5. Step 5: Solve for x
    x = 110,935,263,502.14/277,844.60
  6. Step 6: Final answer
    x = 399,270.90

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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.