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Finding the Fourth Proportional to 362,126.38, 499,728.16 and 200,988.22

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Solution

The fourth proportional to 362,126.38, 499,728.16 and 200,988.22 is: 277,360.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,126.38 : 499,728.16 = 200,988.22 : x
  2. Step 2: Convert to fraction form
    362,126.38/499,728.16 = 200,988.22/x
  3. Step 3: Cross multiply
    362,126.38x = 499,728.16 × 200,988.22
  4. Step 4: Simplify right side
    362,126.38x = 100,439,473,362.28
  5. Step 5: Solve for x
    x = 100,439,473,362.28/362,126.38
  6. Step 6: Final answer
    x = 277,360.28

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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.