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Finding the Fourth Proportional to 363,197, 501,211.86 and 204,221

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Solution

The fourth proportional to 363,197, 501,211.86 and 204,221 is: 281,824.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,197 : 501,211.86 = 204,221 : x
  2. Step 2: Convert to fraction form
    363,197/501,211.86 = 204,221/x
  3. Step 3: Cross multiply
    363,197x = 501,211.86 × 204,221
  4. Step 4: Simplify right side
    363,197x = 102,357,987,261.06
  5. Step 5: Solve for x
    x = 102,357,987,261.06/363,197
  6. Step 6: Final answer
    x = 281,824.98

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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.