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Finding the Fourth Proportional to 386,310.96, 533,082.24 and 214,237.84

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Solution

The fourth proportional to 386,310.96, 533,082.24 and 214,237.84 is: 295,633.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,310.96 : 533,082.24 = 214,237.84 : x
  2. Step 2: Convert to fraction form
    386,310.96/533,082.24 = 214,237.84/x
  3. Step 3: Cross multiply
    386,310.96x = 533,082.24 × 214,237.84
  4. Step 4: Simplify right side
    386,310.96x = 114,206,387,639.96
  5. Step 5: Solve for x
    x = 114,206,387,639.96/386,310.96
  6. Step 6: Final answer
    x = 295,633.31

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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.