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Finding the Fourth Proportional to 460,408.79, 635,462.11 and 309,418.31

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Solution

The fourth proportional to 460,408.79, 635,462.11 and 309,418.31 is: 427,063.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,408.79 : 635,462.11 = 309,418.31 : x
  2. Step 2: Convert to fraction form
    460,408.79/635,462.11 = 309,418.31/x
  3. Step 3: Cross multiply
    460,408.79x = 635,462.11 × 309,418.31
  4. Step 4: Simplify right side
    460,408.79x = 196,623,614,120.66
  5. Step 5: Solve for x
    x = 196,623,614,120.66/460,408.79
  6. Step 6: Final answer
    x = 427,063.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.