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Finding the Fourth Proportional to 363,195, 501,209.10 and 204,219

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Solution

The fourth proportional to 363,195, 501,209.10 and 204,219 is: 281,822.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,195 : 501,209.10 = 204,219 : x
  2. Step 2: Convert to fraction form
    363,195/501,209.10 = 204,219/x
  3. Step 3: Cross multiply
    363,195x = 501,209.10 × 204,219
  4. Step 4: Simplify right side
    363,195x = 102,356,421,192.90
  5. Step 5: Solve for x
    x = 102,356,421,192.90/363,195
  6. Step 6: Final answer
    x = 281,822.22

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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.