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Finding the Fourth Proportional to 273,213.10, 409,819.65 and 256,591.90

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Solution

The fourth proportional to 273,213.10, 409,819.65 and 256,591.90 is: 384,887.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,213.10 : 409,819.65 = 256,591.90 : x
  2. Step 2: Convert to fraction form
    273,213.10/409,819.65 = 256,591.90/x
  3. Step 3: Cross multiply
    273,213.10x = 409,819.65 × 256,591.90
  4. Step 4: Simplify right side
    273,213.10x = 105,156,402,650.84
  5. Step 5: Solve for x
    x = 105,156,402,650.84/273,213.10
  6. Step 6: Final answer
    x = 384,887.85

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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.