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Finding the Fourth Proportional to 363,339, 501,407.82 and 204,363

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Solution

The fourth proportional to 363,339, 501,407.82 and 204,363 is: 282,020.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,339 : 501,407.82 = 204,363 : x
  2. Step 2: Convert to fraction form
    363,339/501,407.82 = 204,363/x
  3. Step 3: Cross multiply
    363,339x = 501,407.82 × 204,363
  4. Step 4: Simplify right side
    363,339x = 102,469,206,318.66
  5. Step 5: Solve for x
    x = 102,469,206,318.66/363,339
  6. Step 6: Final answer
    x = 282,020.94

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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.