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Finding the Fourth Proportional to 277,195.20, 415,015.20 and 269,419.20

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Solution

The fourth proportional to 277,195.20, 415,015.20 and 269,419.20 is: 403,373.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,195.20 : 415,015.20 = 269,419.20 : x
  2. Step 2: Convert to fraction form
    277,195.20/415,015.20 = 269,419.20/x
  3. Step 3: Cross multiply
    277,195.20x = 415,015.20 × 269,419.20
  4. Step 4: Simplify right side
    277,195.20x = 111,813,063,171.84
  5. Step 5: Solve for x
    x = 111,813,063,171.84/277,195.20
  6. Step 6: Final answer
    x = 403,373.01

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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.