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Finding the Fourth Proportional to 362,996.40, 500,946.48 and 201,858.24

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Solution

The fourth proportional to 362,996.40, 500,946.48 and 201,858.24 is: 278,570.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,996.40 : 500,946.48 = 201,858.24 : x
  2. Step 2: Convert to fraction form
    362,996.40/500,946.48 = 201,858.24/x
  3. Step 3: Cross multiply
    362,996.40x = 500,946.48 × 201,858.24
  4. Step 4: Simplify right side
    362,996.40x = 101,120,174,787.00
  5. Step 5: Solve for x
    x = 101,120,174,787.00/362,996.40
  6. Step 6: Final answer
    x = 278,570.74

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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.