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Finding the Fourth Proportional to 362,090.94, 499,708.89 and 200,946.30

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Solution

The fourth proportional to 362,090.94, 499,708.89 and 200,946.30 is: 277,318.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,090.94 : 499,708.89 = 200,946.30 : x
  2. Step 2: Convert to fraction form
    362,090.94/499,708.89 = 200,946.30/x
  3. Step 3: Cross multiply
    362,090.94x = 499,708.89 × 200,946.30
  4. Step 4: Simplify right side
    362,090.94x = 100,414,652,522.61
  5. Step 5: Solve for x
    x = 100,414,652,522.61/362,090.94
  6. Step 6: Final answer
    x = 277,318.88

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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.