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Finding the Fourth Proportional to 633,765.52, 950,647.26 and 213,336.64

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Solution

The fourth proportional to 633,765.52, 950,647.26 and 213,336.64 is: 320,004.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,765.52 : 950,647.26 = 213,336.64 : x
  2. Step 2: Convert to fraction form
    633,765.52/950,647.26 = 213,336.64/x
  3. Step 3: Cross multiply
    633,765.52x = 950,647.26 × 213,336.64
  4. Step 4: Simplify right side
    633,765.52x = 202,807,892,273.61
  5. Step 5: Solve for x
    x = 202,807,892,273.61/633,765.52
  6. Step 6: Final answer
    x = 320,004.62

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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.