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Finding the Fourth Proportional to 277,498.81, 382,629.13 and 205,006.60

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Solution

The fourth proportional to 277,498.81, 382,629.13 and 205,006.60 is: 282,673.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,498.81 : 382,629.13 = 205,006.60 : x
  2. Step 2: Convert to fraction form
    277,498.81/382,629.13 = 205,006.60/x
  3. Step 3: Cross multiply
    277,498.81x = 382,629.13 × 205,006.60
  4. Step 4: Simplify right side
    277,498.81x = 78,441,497,002.26
  5. Step 5: Solve for x
    x = 78,441,497,002.26/277,498.81
  6. Step 6: Final answer
    x = 282,673.27

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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.