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Finding the Fourth Proportional to 363,000.13, 500,952.35 and 199,663.55

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Solution

The fourth proportional to 363,000.13, 500,952.35 and 199,663.55 is: 275,542.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,000.13 : 500,952.35 = 199,663.55 : x
  2. Step 2: Convert to fraction form
    363,000.13/500,952.35 = 199,663.55/x
  3. Step 3: Cross multiply
    363,000.13x = 500,952.35 × 199,663.55
  4. Step 4: Simplify right side
    363,000.13x = 100,021,922,201.87
  5. Step 5: Solve for x
    x = 100,021,922,201.87/363,000.13
  6. Step 6: Final answer
    x = 275,542.39

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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.