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Finding the Fourth Proportional to 364,538.25, 503,082.23 and 213,683.85

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Solution

The fourth proportional to 364,538.25, 503,082.23 and 213,683.85 is: 294,895.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,538.25 : 503,082.23 = 213,683.85 : x
  2. Step 2: Convert to fraction form
    364,538.25/503,082.23 = 213,683.85/x
  3. Step 3: Cross multiply
    364,538.25x = 503,082.23 × 213,683.85
  4. Step 4: Simplify right side
    364,538.25x = 107,500,546,704.57
  5. Step 5: Solve for x
    x = 107,500,546,704.57/364,538.25
  6. Step 6: Final answer
    x = 294,895.11

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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.