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Finding the Fourth Proportional to 363,385.50, 501,359.12 and 206,195.64

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Solution

The fourth proportional to 363,385.50, 501,359.12 and 206,195.64 is: 284,485.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,385.50 : 501,359.12 = 206,195.64 : x
  2. Step 2: Convert to fraction form
    363,385.50/501,359.12 = 206,195.64/x
  3. Step 3: Cross multiply
    363,385.50x = 501,359.12 × 206,195.64
  4. Step 4: Simplify right side
    363,385.50x = 103,378,064,618.24
  5. Step 5: Solve for x
    x = 103,378,064,618.24/363,385.50
  6. Step 6: Final answer
    x = 284,485.94

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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.