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Finding the Fourth Proportional to 633,749.20, 950,767.80 and 213,067.60

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Solution

The fourth proportional to 633,749.20, 950,767.80 and 213,067.60 is: 319,649.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,749.20 : 950,767.80 = 213,067.60 : x
  2. Step 2: Convert to fraction form
    633,749.20/950,767.80 = 213,067.60/x
  3. Step 3: Cross multiply
    633,749.20x = 950,767.80 × 213,067.60
  4. Step 4: Simplify right side
    633,749.20x = 202,577,813,303.28
  5. Step 5: Solve for x
    x = 202,577,813,303.28/633,749.20
  6. Step 6: Final answer
    x = 319,649.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.