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Finding the Fourth Proportional to 365,833.24, 504,821.10 and 204,675.64

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Solution

The fourth proportional to 365,833.24, 504,821.10 and 204,675.64 is: 282,436.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,833.24 : 504,821.10 = 204,675.64 : x
  2. Step 2: Convert to fraction form
    365,833.24/504,821.10 = 204,675.64/x
  3. Step 3: Cross multiply
    365,833.24x = 504,821.10 × 204,675.64
  4. Step 4: Simplify right side
    365,833.24x = 103,324,581,728.00
  5. Step 5: Solve for x
    x = 103,324,581,728.00/365,833.24
  6. Step 6: Final answer
    x = 282,436.29

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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.