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Finding the Fourth Proportional to 367,696.67, 507,366.12 and 206,520.84

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Solution

The fourth proportional to 367,696.67, 507,366.12 and 206,520.84 is: 284,967.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,696.67 : 507,366.12 = 206,520.84 : x
  2. Step 2: Convert to fraction form
    367,696.67/507,366.12 = 206,520.84/x
  3. Step 3: Cross multiply
    367,696.67x = 507,366.12 × 206,520.84
  4. Step 4: Simplify right side
    367,696.67x = 104,781,677,289.94
  5. Step 5: Solve for x
    x = 104,781,677,289.94/367,696.67
  6. Step 6: Final answer
    x = 284,967.71

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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.