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Finding the Fourth Proportional to 277,747.80, 415,568.70 and 184,435.80

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Solution

The fourth proportional to 277,747.80, 415,568.70 and 184,435.80 is: 275,954.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,747.80 : 415,568.70 = 184,435.80 : x
  2. Step 2: Convert to fraction form
    277,747.80/415,568.70 = 184,435.80/x
  3. Step 3: Cross multiply
    277,747.80x = 415,568.70 × 184,435.80
  4. Step 4: Simplify right side
    277,747.80x = 76,645,745,639.46
  5. Step 5: Solve for x
    x = 76,645,745,639.46/277,747.80
  6. Step 6: Final answer
    x = 275,954.47

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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.