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Finding the Fourth Proportional to 323,638.16, 446,610.38 and 202,844.68

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Solution

The fourth proportional to 323,638.16, 446,610.38 and 202,844.68 is: 279,919.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,638.16 : 446,610.38 = 202,844.68 : x
  2. Step 2: Convert to fraction form
    323,638.16/446,610.38 = 202,844.68/x
  3. Step 3: Cross multiply
    323,638.16x = 446,610.38 × 202,844.68
  4. Step 4: Simplify right side
    323,638.16x = 90,592,537,485.03
  5. Step 5: Solve for x
    x = 90,592,537,485.03/323,638.16
  6. Step 6: Final answer
    x = 279,919.21

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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.