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Finding the Fourth Proportional to 362,827.38, 500,707.82 and 199,490.79

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Solution

The fourth proportional to 362,827.38, 500,707.82 and 199,490.79 is: 275,300.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,827.38 : 500,707.82 = 199,490.79 : x
  2. Step 2: Convert to fraction form
    362,827.38/500,707.82 = 199,490.79/x
  3. Step 3: Cross multiply
    362,827.38x = 500,707.82 × 199,490.79
  4. Step 4: Simplify right side
    362,827.38x = 99,886,597,573.52
  5. Step 5: Solve for x
    x = 99,886,597,573.52/362,827.38
  6. Step 6: Final answer
    x = 275,300.61

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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.