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Finding the Fourth Proportional to 362,999.78, 500,951.79 and 199,663.18

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Solution

The fourth proportional to 362,999.78, 500,951.79 and 199,663.18 is: 275,541.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,999.78 : 500,951.79 = 199,663.18 : x
  2. Step 2: Convert to fraction form
    362,999.78/500,951.79 = 199,663.18/x
  3. Step 3: Cross multiply
    362,999.78x = 500,951.79 × 199,663.18
  4. Step 4: Simplify right side
    362,999.78x = 100,021,626,165.71
  5. Step 5: Solve for x
    x = 100,021,626,165.71/362,999.78
  6. Step 6: Final answer
    x = 275,541.84

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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.