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Finding the Fourth Proportional to 362,399.44, 500,124.08 and 201,257.20

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Solution

The fourth proportional to 362,399.44, 500,124.08 and 201,257.20 is: 277,742.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,399.44 : 500,124.08 = 201,257.20 : x
  2. Step 2: Convert to fraction form
    362,399.44/500,124.08 = 201,257.20/x
  3. Step 3: Cross multiply
    362,399.44x = 500,124.08 × 201,257.20
  4. Step 4: Simplify right side
    362,399.44x = 100,653,571,993.38
  5. Step 5: Solve for x
    x = 100,653,571,993.38/362,399.44
  6. Step 6: Final answer
    x = 277,742.07

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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.