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Finding the Fourth Proportional to 365,211.40, 503,963.04 and 201,861.04

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Solution

The fourth proportional to 365,211.40, 503,963.04 and 201,861.04 is: 278,552.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,211.40 : 503,963.04 = 201,861.04 : x
  2. Step 2: Convert to fraction form
    365,211.40/503,963.04 = 201,861.04/x
  3. Step 3: Cross multiply
    365,211.40x = 503,963.04 × 201,861.04
  4. Step 4: Simplify right side
    365,211.40x = 101,730,503,375.96
  5. Step 5: Solve for x
    x = 101,730,503,375.96/365,211.40
  6. Step 6: Final answer
    x = 278,552.38

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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.