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Finding the Fourth Proportional to 362,301.97, 499,992.33 and 201,157.02

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Solution

The fourth proportional to 362,301.97, 499,992.33 and 201,157.02 is: 277,605.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,301.97 : 499,992.33 = 201,157.02 : x
  2. Step 2: Convert to fraction form
    362,301.97/499,992.33 = 201,157.02/x
  3. Step 3: Cross multiply
    362,301.97x = 499,992.33 × 201,157.02
  4. Step 4: Simplify right side
    362,301.97x = 100,576,967,125.66
  5. Step 5: Solve for x
    x = 100,576,967,125.66/362,301.97
  6. Step 6: Final answer
    x = 277,605.36

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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.