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Finding the Fourth Proportional to 309,514.86, 464,403.50 and 169,109.46

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Solution

The fourth proportional to 309,514.86, 464,403.50 and 169,109.46 is: 253,735.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,514.86 : 464,403.50 = 169,109.46 : x
  2. Step 2: Convert to fraction form
    309,514.86/464,403.50 = 169,109.46/x
  3. Step 3: Cross multiply
    309,514.86x = 464,403.50 × 169,109.46
  4. Step 4: Simplify right side
    309,514.86x = 78,535,024,261.56
  5. Step 5: Solve for x
    x = 78,535,024,261.56/309,514.86
  6. Step 6: Final answer
    x = 253,735.88

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