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Finding the Fourth Proportional to 362,441.64, 500,168.98 and 201,320.76

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Solution

The fourth proportional to 362,441.64, 500,168.98 and 201,320.76 is: 277,822.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,441.64 : 500,168.98 = 201,320.76 : x
  2. Step 2: Convert to fraction form
    362,441.64/500,168.98 = 201,320.76/x
  3. Step 3: Cross multiply
    362,441.64x = 500,168.98 × 201,320.76
  4. Step 4: Simplify right side
    362,441.64x = 100,694,399,182.03
  5. Step 5: Solve for x
    x = 100,694,399,182.03/362,441.64
  6. Step 6: Final answer
    x = 277,822.38

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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.