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Finding the Fourth Proportional to 362,144.23, 499,718.51 and 201,006.07

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Solution

The fourth proportional to 362,144.23, 499,718.51 and 201,006.07 is: 277,365.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,144.23 : 499,718.51 = 201,006.07 : x
  2. Step 2: Convert to fraction form
    362,144.23/499,718.51 = 201,006.07/x
  3. Step 3: Cross multiply
    362,144.23x = 499,718.51 × 201,006.07
  4. Step 4: Simplify right side
    362,144.23x = 100,446,452,796.33
  5. Step 5: Solve for x
    x = 100,446,452,796.33/362,144.23
  6. Step 6: Final answer
    x = 277,365.88

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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.