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Finding the Fourth Proportional to 277,360.25, 382,654.40 and 204,937.74

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Solution

The fourth proportional to 277,360.25, 382,654.40 and 204,937.74 is: 282,738.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,360.25 : 382,654.40 = 204,937.74 : x
  2. Step 2: Convert to fraction form
    277,360.25/382,654.40 = 204,937.74/x
  3. Step 3: Cross multiply
    277,360.25x = 382,654.40 × 204,937.74
  4. Step 4: Simplify right side
    277,360.25x = 78,420,326,912.37
  5. Step 5: Solve for x
    x = 78,420,326,912.37/277,360.25
  6. Step 6: Final answer
    x = 282,738.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.