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Finding the Fourth Proportional to 277,579.82, 416,307.43 and 127,676.12

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Solution

The fourth proportional to 277,579.82, 416,307.43 and 127,676.12 is: 191,485.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,579.82 : 416,307.43 = 127,676.12 : x
  2. Step 2: Convert to fraction form
    277,579.82/416,307.43 = 127,676.12/x
  3. Step 3: Cross multiply
    277,579.82x = 416,307.43 × 127,676.12
  4. Step 4: Simplify right side
    277,579.82x = 53,152,517,389.57
  5. Step 5: Solve for x
    x = 53,152,517,389.57/277,579.82
  6. Step 6: Final answer
    x = 191,485.52

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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.