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Finding the Fourth Proportional to 367,969.77, 507,803.04 and 206,815.41

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Solution

The fourth proportional to 367,969.77, 507,803.04 and 206,815.41 is: 285,407.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,969.77 : 507,803.04 = 206,815.41 : x
  2. Step 2: Convert to fraction form
    367,969.77/507,803.04 = 206,815.41/x
  3. Step 3: Cross multiply
    367,969.77x = 507,803.04 × 206,815.41
  4. Step 4: Simplify right side
    367,969.77x = 105,021,493,916.85
  5. Step 5: Solve for x
    x = 105,021,493,916.85/367,969.77
  6. Step 6: Final answer
    x = 285,407.94

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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.