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Finding the Fourth Proportional to 363,300.72, 501,297.24 and 204,294

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Solution

The fourth proportional to 363,300.72, 501,297.24 and 204,294 is: 281,893.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,300.72 : 501,297.24 = 204,294 : x
  2. Step 2: Convert to fraction form
    363,300.72/501,297.24 = 204,294/x
  3. Step 3: Cross multiply
    363,300.72x = 501,297.24 × 204,294
  4. Step 4: Simplify right side
    363,300.72x = 102,412,018,348.56
  5. Step 5: Solve for x
    x = 102,412,018,348.56/363,300.72
  6. Step 6: Final answer
    x = 281,893.24

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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.