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Finding the Fourth Proportional to 362,409.56, 500,141.80 and 201,265.32

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Solution

The fourth proportional to 362,409.56, 500,141.80 and 201,265.32 is: 277,755.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,409.56 : 500,141.80 = 201,265.32 : x
  2. Step 2: Convert to fraction form
    362,409.56/500,141.80 = 201,265.32/x
  3. Step 3: Cross multiply
    362,409.56x = 500,141.80 × 201,265.32
  4. Step 4: Simplify right side
    362,409.56x = 100,661,199,422.38
  5. Step 5: Solve for x
    x = 100,661,199,422.38/362,409.56
  6. Step 6: Final answer
    x = 277,755.36

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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.