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Finding the Fourth Proportional to 302,206.67, 417,007.36 and 204,302.98

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Solution

The fourth proportional to 302,206.67, 417,007.36 and 204,302.98 is: 281,912.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,206.67 : 417,007.36 = 204,302.98 : x
  2. Step 2: Convert to fraction form
    302,206.67/417,007.36 = 204,302.98/x
  3. Step 3: Cross multiply
    302,206.67x = 417,007.36 × 204,302.98
  4. Step 4: Simplify right side
    302,206.67x = 85,195,848,854.01
  5. Step 5: Solve for x
    x = 85,195,848,854.01/302,206.67
  6. Step 6: Final answer
    x = 281,912.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.