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Finding the Fourth Proportional to 379,026.33, 523,053.41 and 206,938.59

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Solution

The fourth proportional to 379,026.33, 523,053.41 and 206,938.59 is: 285,573.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,026.33 : 523,053.41 = 206,938.59 : x
  2. Step 2: Convert to fraction form
    379,026.33/523,053.41 = 206,938.59/x
  3. Step 3: Cross multiply
    379,026.33x = 523,053.41 × 206,938.59
  4. Step 4: Simplify right side
    379,026.33x = 108,239,935,160.09
  5. Step 5: Solve for x
    x = 108,239,935,160.09/379,026.33
  6. Step 6: Final answer
    x = 285,573.66

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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.