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Finding the Fourth Proportional to 323,922.96, 446,853.24 and 216,526.68

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Solution

The fourth proportional to 323,922.96, 446,853.24 and 216,526.68 is: 298,699.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,922.96 : 446,853.24 = 216,526.68 : x
  2. Step 2: Convert to fraction form
    323,922.96/446,853.24 = 216,526.68/x
  3. Step 3: Cross multiply
    323,922.96x = 446,853.24 × 216,526.68
  4. Step 4: Simplify right side
    323,922.96x = 96,755,648,504.44
  5. Step 5: Solve for x
    x = 96,755,648,504.44/323,922.96
  6. Step 6: Final answer
    x = 298,699.57

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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.