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Finding the Fourth Proportional to 365,964.14, 505,030.43 and 204,819.17

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Solution

The fourth proportional to 365,964.14, 505,030.43 and 204,819.17 is: 282,650.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,964.14 : 505,030.43 = 204,819.17 : x
  2. Step 2: Convert to fraction form
    365,964.14/505,030.43 = 204,819.17/x
  3. Step 3: Cross multiply
    365,964.14x = 505,030.43 × 204,819.17
  4. Step 4: Simplify right side
    365,964.14x = 103,439,914,503.90
  5. Step 5: Solve for x
    x = 103,439,914,503.90/365,964.14
  6. Step 6: Final answer
    x = 282,650.41

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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.