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Finding the Fourth Proportional to 277,264.38, 415,896.62 and 66,902.32

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Solution

The fourth proportional to 277,264.38, 415,896.62 and 66,902.32 is: 100,353.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,264.38 : 415,896.62 = 66,902.32 : x
  2. Step 2: Convert to fraction form
    277,264.38/415,896.62 = 66,902.32/x
  3. Step 3: Cross multiply
    277,264.38x = 415,896.62 × 66,902.32
  4. Step 4: Simplify right side
    277,264.38x = 27,824,447,383.91
  5. Step 5: Solve for x
    x = 27,824,447,383.91/277,264.38
  6. Step 6: Final answer
    x = 100,353.49

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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.