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Finding the Fourth Proportional to 277,627, 382,953 and 204,955.60

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Solution

The fourth proportional to 277,627, 382,953 and 204,955.60 is: 282,711.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,627 : 382,953 = 204,955.60 : x
  2. Step 2: Convert to fraction form
    277,627/382,953 = 204,955.60/x
  3. Step 3: Cross multiply
    277,627x = 382,953 × 204,955.60
  4. Step 4: Simplify right side
    277,627x = 78,488,361,886.80
  5. Step 5: Solve for x
    x = 78,488,361,886.80/277,627
  6. Step 6: Final answer
    x = 282,711.56

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Why These Related Problems?

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