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Finding the Fourth Proportional to 469,814.42, 648,344.31 and 254,954.48

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Solution

The fourth proportional to 469,814.42, 648,344.31 and 254,954.48 is: 351,837.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,814.42 : 648,344.31 = 254,954.48 : x
  2. Step 2: Convert to fraction form
    469,814.42/648,344.31 = 254,954.48/x
  3. Step 3: Cross multiply
    469,814.42x = 648,344.31 × 254,954.48
  4. Step 4: Simplify right side
    469,814.42x = 165,298,285,992.88
  5. Step 5: Solve for x
    x = 165,298,285,992.88/469,814.42
  6. Step 6: Final answer
    x = 351,837.41

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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.