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Finding the Fourth Proportional to 362,102.64, 499,761.36 and 201,009.24

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Solution

The fourth proportional to 362,102.64, 499,761.36 and 201,009.24 is: 277,425.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,102.64 : 499,761.36 = 201,009.24 : x
  2. Step 2: Convert to fraction form
    362,102.64/499,761.36 = 201,009.24/x
  3. Step 3: Cross multiply
    362,102.64x = 499,761.36 × 201,009.24
  4. Step 4: Simplify right side
    362,102.64x = 100,456,651,154.97
  5. Step 5: Solve for x
    x = 100,456,651,154.97/362,102.64
  6. Step 6: Final answer
    x = 277,425.90

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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.