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Finding the Fourth Proportional to 362,231.94, 499,870.26 and 201,082.86

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Solution

The fourth proportional to 362,231.94, 499,870.26 and 201,082.86 is: 277,488.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,231.94 : 499,870.26 = 201,082.86 : x
  2. Step 2: Convert to fraction form
    362,231.94/499,870.26 = 201,082.86/x
  3. Step 3: Cross multiply
    362,231.94x = 499,870.26 × 201,082.86
  4. Step 4: Simplify right side
    362,231.94x = 100,515,341,509.74
  5. Step 5: Solve for x
    x = 100,515,341,509.74/362,231.94
  6. Step 6: Final answer
    x = 277,488.90

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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.