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Finding the Fourth Proportional to 365,990.09, 504,951.18 and 204,819.53

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Solution

The fourth proportional to 365,990.09, 504,951.18 and 204,819.53 is: 282,586.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,990.09 : 504,951.18 = 204,819.53 : x
  2. Step 2: Convert to fraction form
    365,990.09/504,951.18 = 204,819.53/x
  3. Step 3: Cross multiply
    365,990.09x = 504,951.18 × 204,819.53
  4. Step 4: Simplify right side
    365,990.09x = 103,423,863,360.55
  5. Step 5: Solve for x
    x = 103,423,863,360.55/365,990.09
  6. Step 6: Final answer
    x = 282,586.51

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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.