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Finding the Fourth Proportional to 363,614.51, 501,783.27 and 200,267.90

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Solution

The fourth proportional to 363,614.51, 501,783.27 and 200,267.90 is: 276,367.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,614.51 : 501,783.27 = 200,267.90 : x
  2. Step 2: Convert to fraction form
    363,614.51/501,783.27 = 200,267.90/x
  3. Step 3: Cross multiply
    363,614.51x = 501,783.27 × 200,267.90
  4. Step 4: Simplify right side
    363,614.51x = 100,491,081,738.03
  5. Step 5: Solve for x
    x = 100,491,081,738.03/363,614.51
  6. Step 6: Final answer
    x = 276,367.08

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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.