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Finding the Fourth Proportional to 365,169.82, 503,933.01 and 201,821.74

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Solution

The fourth proportional to 365,169.82, 503,933.01 and 201,821.74 is: 278,513.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,169.82 : 503,933.01 = 201,821.74 : x
  2. Step 2: Convert to fraction form
    365,169.82/503,933.01 = 201,821.74/x
  3. Step 3: Cross multiply
    365,169.82x = 503,933.01 × 201,821.74
  4. Step 4: Simplify right side
    365,169.82x = 101,704,636,921.64
  5. Step 5: Solve for x
    x = 101,704,636,921.64/365,169.82
  6. Step 6: Final answer
    x = 278,513.26

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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.