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Finding the Fourth Proportional to 277,775.40, 416,400.72 and 100,234.80

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Solution

The fourth proportional to 277,775.40, 416,400.72 and 100,234.80 is: 150,257.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,775.40 : 416,400.72 = 100,234.80 : x
  2. Step 2: Convert to fraction form
    277,775.40/416,400.72 = 100,234.80/x
  3. Step 3: Cross multiply
    277,775.40x = 416,400.72 × 100,234.80
  4. Step 4: Simplify right side
    277,775.40x = 41,737,842,889.06
  5. Step 5: Solve for x
    x = 41,737,842,889.06/277,775.40
  6. Step 6: Final answer
    x = 150,257.52

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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.