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Finding the Fourth Proportional to 277,498.56, 416,230.56 and 170,902.80

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Solution

The fourth proportional to 277,498.56, 416,230.56 and 170,902.80 is: 256,343.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,498.56 : 416,230.56 = 170,902.80 : x
  2. Step 2: Convert to fraction form
    277,498.56/416,230.56 = 170,902.80/x
  3. Step 3: Cross multiply
    277,498.56x = 416,230.56 × 170,902.80
  4. Step 4: Simplify right side
    277,498.56x = 71,134,968,149.57
  5. Step 5: Solve for x
    x = 71,134,968,149.57/277,498.56
  6. Step 6: Final answer
    x = 256,343.56

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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.