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Finding the Fourth Proportional to 362,007.67, 499,562.94 and 200,859.25

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Solution

The fourth proportional to 362,007.67, 499,562.94 and 200,859.25 is: 277,181.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,007.67 : 499,562.94 = 200,859.25 : x
  2. Step 2: Convert to fraction form
    362,007.67/499,562.94 = 200,859.25/x
  3. Step 3: Cross multiply
    362,007.67x = 499,562.94 × 200,859.25
  4. Step 4: Simplify right side
    362,007.67x = 100,341,837,456.20
  5. Step 5: Solve for x
    x = 100,341,837,456.20/362,007.67
  6. Step 6: Final answer
    x = 277,181.52

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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.