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Finding the Fourth Proportional to 277,587.20, 415,724.70 and 188,357.60

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Solution

The fourth proportional to 277,587.20, 415,724.70 and 188,357.60 is: 282,091.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,587.20 : 415,724.70 = 188,357.60 : x
  2. Step 2: Convert to fraction form
    277,587.20/415,724.70 = 188,357.60/x
  3. Step 3: Cross multiply
    277,587.20x = 415,724.70 × 188,357.60
  4. Step 4: Simplify right side
    277,587.20x = 78,304,906,752.72
  5. Step 5: Solve for x
    x = 78,304,906,752.72/277,587.20
  6. Step 6: Final answer
    x = 282,091.20

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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.