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Finding the Fourth Proportional to 3,156,892.68, 4,733,866.90 and 1,640,167.89

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Solution

The fourth proportional to 3,156,892.68, 4,733,866.90 and 1,640,167.89 is: 2,459,486.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156,892.68 : 4,733,866.90 = 1,640,167.89 : x
  2. Step 2: Convert to fraction form
    3,156,892.68/4,733,866.90 = 1,640,167.89/x
  3. Step 3: Cross multiply
    3,156,892.68x = 4,733,866.90 × 1,640,167.89
  4. Step 4: Simplify right side
    3,156,892.68x = 7,764,336,469,212.05
  5. Step 5: Solve for x
    x = 7,764,336,469,212.05/3,156,892.68
  6. Step 6: Final answer
    x = 2,459,486.99

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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.