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Finding the Fourth Proportional to 362,015.61, 499,581.48 and 200,871.78

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Solution

The fourth proportional to 362,015.61, 499,581.48 and 200,871.78 is: 277,203.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,015.61 : 499,581.48 = 200,871.78 : x
  2. Step 2: Convert to fraction form
    362,015.61/499,581.48 = 200,871.78/x
  3. Step 3: Cross multiply
    362,015.61x = 499,581.48 × 200,871.78
  4. Step 4: Simplify right side
    362,015.61x = 100,351,821,142.63
  5. Step 5: Solve for x
    x = 100,351,821,142.63/362,015.61
  6. Step 6: Final answer
    x = 277,203.02

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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.