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Finding the Fourth Proportional to 363,424, 501,529.87 and 200,099.50

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Solution

The fourth proportional to 363,424, 501,529.87 and 200,099.50 is: 276,139.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,424 : 501,529.87 = 200,099.50 : x
  2. Step 2: Convert to fraction form
    363,424/501,529.87 = 200,099.50/x
  3. Step 3: Cross multiply
    363,424x = 501,529.87 × 200,099.50
  4. Step 4: Simplify right side
    363,424x = 100,355,876,222.07
  5. Step 5: Solve for x
    x = 100,355,876,222.07/363,424
  6. Step 6: Final answer
    x = 276,139.93

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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.