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Finding the Fourth Proportional to 351,310.38, 484,874 and 200,407.38

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Solution

The fourth proportional to 351,310.38, 484,874 and 200,407.38 is: 276,599.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,310.38 : 484,874 = 200,407.38 : x
  2. Step 2: Convert to fraction form
    351,310.38/484,874 = 200,407.38/x
  3. Step 3: Cross multiply
    351,310.38x = 484,874 × 200,407.38
  4. Step 4: Simplify right side
    351,310.38x = 97,172,327,970.12
  5. Step 5: Solve for x
    x = 97,172,327,970.12/351,310.38
  6. Step 6: Final answer
    x = 276,599.65

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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.