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Finding the Fourth Proportional to 276,200.43, 413,922.64 and 208,676.95

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Solution

The fourth proportional to 276,200.43, 413,922.64 and 208,676.95 is: 312,729.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,200.43 : 413,922.64 = 208,676.95 : x
  2. Step 2: Convert to fraction form
    276,200.43/413,922.64 = 208,676.95/x
  3. Step 3: Cross multiply
    276,200.43x = 413,922.64 × 208,676.95
  4. Step 4: Simplify right side
    276,200.43x = 86,376,114,051.15
  5. Step 5: Solve for x
    x = 86,376,114,051.15/276,200.43
  6. Step 6: Final answer
    x = 312,729.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.