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Finding the Fourth Proportional to 277,383.60, 415,832.40 and 188,348.40

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Solution

The fourth proportional to 277,383.60, 415,832.40 and 188,348.40 is: 282,357.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,383.60 : 415,832.40 = 188,348.40 : x
  2. Step 2: Convert to fraction form
    277,383.60/415,832.40 = 188,348.40/x
  3. Step 3: Cross multiply
    277,383.60x = 415,832.40 × 188,348.40
  4. Step 4: Simplify right side
    277,383.60x = 78,321,367,208.16
  5. Step 5: Solve for x
    x = 78,321,367,208.16/277,383.60
  6. Step 6: Final answer
    x = 282,357.60

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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.