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Finding the Fourth Proportional to 365,020.69, 503,733.84 and 201,680.96

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Solution

The fourth proportional to 365,020.69, 503,733.84 and 201,680.96 is: 278,322.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,020.69 : 503,733.84 = 201,680.96 : x
  2. Step 2: Convert to fraction form
    365,020.69/503,733.84 = 201,680.96/x
  3. Step 3: Cross multiply
    365,020.69x = 503,733.84 × 201,680.96
  4. Step 4: Simplify right side
    365,020.69x = 101,593,523,499.55
  5. Step 5: Solve for x
    x = 101,593,523,499.55/365,020.69
  6. Step 6: Final answer
    x = 278,322.64

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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.