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Finding the Fourth Proportional to 313,576.38, 432,914.94 and 206,457.78

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Solution

The fourth proportional to 313,576.38, 432,914.94 and 206,457.78 is: 285,029.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,576.38 : 432,914.94 = 206,457.78 : x
  2. Step 2: Convert to fraction form
    313,576.38/432,914.94 = 206,457.78/x
  3. Step 3: Cross multiply
    313,576.38x = 432,914.94 × 206,457.78
  4. Step 4: Simplify right side
    313,576.38x = 89,378,657,441.23
  5. Step 5: Solve for x
    x = 89,378,657,441.23/313,576.38
  6. Step 6: Final answer
    x = 285,029.94

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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.