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Finding the Fourth Proportional to 277,564.20, 416,540.70 and 177,966.60

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Solution

The fourth proportional to 277,564.20, 416,540.70 and 177,966.60 is: 267,074.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,564.20 : 416,540.70 = 177,966.60 : x
  2. Step 2: Convert to fraction form
    277,564.20/416,540.70 = 177,966.60/x
  3. Step 3: Cross multiply
    277,564.20x = 416,540.70 × 177,966.60
  4. Step 4: Simplify right side
    277,564.20x = 74,130,332,140.62
  5. Step 5: Solve for x
    x = 74,130,332,140.62/277,564.20
  6. Step 6: Final answer
    x = 267,074.54

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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.