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Finding the Fourth Proportional to 363,000.78, 500,953.17 and 199,664.18

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Solution

The fourth proportional to 363,000.78, 500,953.17 and 199,664.18 is: 275,543.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,000.78 : 500,953.17 = 199,664.18 : x
  2. Step 2: Convert to fraction form
    363,000.78/500,953.17 = 199,664.18/x
  3. Step 3: Cross multiply
    363,000.78x = 500,953.17 × 199,664.18
  4. Step 4: Simplify right side
    363,000.78x = 100,022,403,906.45
  5. Step 5: Solve for x
    x = 100,022,403,906.45/363,000.78
  6. Step 6: Final answer
    x = 275,543.22

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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.