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Finding the Fourth Proportional to 277,367.88, 416,338.98 and 170,828.58

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Solution

The fourth proportional to 277,367.88, 416,338.98 and 170,828.58 is: 256,419.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,367.88 : 416,338.98 = 170,828.58 : x
  2. Step 2: Convert to fraction form
    277,367.88/416,338.98 = 170,828.58/x
  3. Step 3: Cross multiply
    277,367.88x = 416,338.98 × 170,828.58
  4. Step 4: Simplify right side
    277,367.88x = 71,122,596,752.05
  5. Step 5: Solve for x
    x = 71,122,596,752.05/277,367.88
  6. Step 6: Final answer
    x = 256,419.73

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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.