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Finding the Fourth Proportional to 362,184.81, 499,814.67 and 201,039.54

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Solution

The fourth proportional to 362,184.81, 499,814.67 and 201,039.54 is: 277,434.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,184.81 : 499,814.67 = 201,039.54 : x
  2. Step 2: Convert to fraction form
    362,184.81/499,814.67 = 201,039.54/x
  3. Step 3: Cross multiply
    362,184.81x = 499,814.67 × 201,039.54
  4. Step 4: Simplify right side
    362,184.81x = 100,482,511,342.05
  5. Step 5: Solve for x
    x = 100,482,511,342.05/362,184.81
  6. Step 6: Final answer
    x = 277,434.36

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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.