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Finding the Fourth Proportional to 363,423.50, 501,529.18 and 200,099

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Solution

The fourth proportional to 363,423.50, 501,529.18 and 200,099 is: 276,139.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,423.50 : 501,529.18 = 200,099 : x
  2. Step 2: Convert to fraction form
    363,423.50/501,529.18 = 200,099/x
  3. Step 3: Cross multiply
    363,423.50x = 501,529.18 × 200,099
  4. Step 4: Simplify right side
    363,423.50x = 100,355,487,388.82
  5. Step 5: Solve for x
    x = 100,355,487,388.82/363,423.50
  6. Step 6: Final answer
    x = 276,139.24

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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.