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Finding the Fourth Proportional to 362,140.96, 499,777.88 and 200,996.02

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Solution

The fourth proportional to 362,140.96, 499,777.88 and 200,996.02 is: 277,387.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,140.96 : 499,777.88 = 200,996.02 : x
  2. Step 2: Convert to fraction form
    362,140.96/499,777.88 = 200,996.02/x
  3. Step 3: Cross multiply
    362,140.96x = 499,777.88 × 200,996.02
  4. Step 4: Simplify right side
    362,140.96x = 100,453,364,764.04
  5. Step 5: Solve for x
    x = 100,453,364,764.04/362,140.96
  6. Step 6: Final answer
    x = 277,387.47

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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.