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Finding the Fourth Proportional to 316,892, 437,310.96 and 182,756

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Solution

The fourth proportional to 316,892, 437,310.96 and 182,756 is: 252,203.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,892 : 437,310.96 = 182,756 : x
  2. Step 2: Convert to fraction form
    316,892/437,310.96 = 182,756/x
  3. Step 3: Cross multiply
    316,892x = 437,310.96 × 182,756
  4. Step 4: Simplify right side
    316,892x = 79,921,201,805.76
  5. Step 5: Solve for x
    x = 79,921,201,805.76/316,892
  6. Step 6: Final answer
    x = 252,203.28

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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.