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Finding the Fourth Proportional to 362,163.66, 499,778.15 and 201,009.03

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Solution

The fourth proportional to 362,163.66, 499,778.15 and 201,009.03 is: 277,388.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,163.66 : 499,778.15 = 201,009.03 : x
  2. Step 2: Convert to fraction form
    362,163.66/499,778.15 = 201,009.03/x
  3. Step 3: Cross multiply
    362,163.66x = 499,778.15 × 201,009.03
  4. Step 4: Simplify right side
    362,163.66x = 100,459,920,141.65
  5. Step 5: Solve for x
    x = 100,459,920,141.65/362,163.66
  6. Step 6: Final answer
    x = 277,388.18

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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.