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Finding the Fourth Proportional to 277,760.20, 415,984.20 and 188,530.60

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Solution

The fourth proportional to 277,760.20, 415,984.20 and 188,530.60 is: 282,350.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,760.20 : 415,984.20 = 188,530.60 : x
  2. Step 2: Convert to fraction form
    277,760.20/415,984.20 = 188,530.60/x
  3. Step 3: Cross multiply
    277,760.20x = 415,984.20 × 188,530.60
  4. Step 4: Simplify right side
    277,760.20x = 78,425,750,816.52
  5. Step 5: Solve for x
    x = 78,425,750,816.52/277,760.20
  6. Step 6: Final answer
    x = 282,350.57

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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.