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Finding the Fourth Proportional to 277,209.20, 415,036.20 and 269,433.20

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Solution

The fourth proportional to 277,209.20, 415,036.20 and 269,433.20 is: 403,394.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,209.20 : 415,036.20 = 269,433.20 : x
  2. Step 2: Convert to fraction form
    277,209.20/415,036.20 = 269,433.20/x
  3. Step 3: Cross multiply
    277,209.20x = 415,036.20 × 269,433.20
  4. Step 4: Simplify right side
    277,209.20x = 111,824,531,481.84
  5. Step 5: Solve for x
    x = 111,824,531,481.84/277,209.20
  6. Step 6: Final answer
    x = 403,394.01

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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.