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Finding the Fourth Proportional to 362,564.21, 500,418.64 and 201,474.65

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Solution

The fourth proportional to 362,564.21, 500,418.64 and 201,474.65 is: 278,079.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,564.21 : 500,418.64 = 201,474.65 : x
  2. Step 2: Convert to fraction form
    362,564.21/500,418.64 = 201,474.65/x
  3. Step 3: Cross multiply
    362,564.21x = 500,418.64 × 201,474.65
  4. Step 4: Simplify right side
    362,564.21x = 100,821,671,850.37
  5. Step 5: Solve for x
    x = 100,821,671,850.37/362,564.21
  6. Step 6: Final answer
    x = 278,079.49

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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.