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Finding the Fourth Proportional to 365,023.35, 503,742.37 and 201,690.37

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Solution

The fourth proportional to 365,023.35, 503,742.37 and 201,690.37 is: 278,338.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,023.35 : 503,742.37 = 201,690.37 : x
  2. Step 2: Convert to fraction form
    365,023.35/503,742.37 = 201,690.37/x
  3. Step 3: Cross multiply
    365,023.35x = 503,742.37 × 201,690.37
  4. Step 4: Simplify right side
    365,023.35x = 101,599,984,989.98
  5. Step 5: Solve for x
    x = 101,599,984,989.98/365,023.35
  6. Step 6: Final answer
    x = 278,338.32

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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.