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Finding the Fourth Proportional to 362,874.00, 500,783.21 and 201,731.74

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Solution

The fourth proportional to 362,874.00, 500,783.21 and 201,731.74 is: 278,399.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,874.00 : 500,783.21 = 201,731.74 : x
  2. Step 2: Convert to fraction form
    362,874.00/500,783.21 = 201,731.74/x
  3. Step 3: Cross multiply
    362,874.00x = 500,783.21 × 201,731.74
  4. Step 4: Simplify right side
    362,874.00x = 101,023,865,429.49
  5. Step 5: Solve for x
    x = 101,023,865,429.49/362,874.00
  6. Step 6: Final answer
    x = 278,399.30

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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.