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Finding the Fourth Proportional to 433,023.78, 649,536.48 and 166,909.62

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Solution

The fourth proportional to 433,023.78, 649,536.48 and 166,909.62 is: 250,364.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,023.78 : 649,536.48 = 166,909.62 : x
  2. Step 2: Convert to fraction form
    433,023.78/649,536.48 = 166,909.62/x
  3. Step 3: Cross multiply
    433,023.78x = 649,536.48 × 166,909.62
  4. Step 4: Simplify right side
    433,023.78x = 108,413,887,052.94
  5. Step 5: Solve for x
    x = 108,413,887,052.94/433,023.78
  6. Step 6: Final answer
    x = 250,364.74

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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.