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Finding the Fourth Proportional to 441,243.29, 661,404.13 and 216,292.25

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Solution

The fourth proportional to 441,243.29, 661,404.13 and 216,292.25 is: 324,212.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,243.29 : 661,404.13 = 216,292.25 : x
  2. Step 2: Convert to fraction form
    441,243.29/661,404.13 = 216,292.25/x
  3. Step 3: Cross multiply
    441,243.29x = 661,404.13 × 216,292.25
  4. Step 4: Simplify right side
    441,243.29x = 143,056,587,436.99
  5. Step 5: Solve for x
    x = 143,056,587,436.99/441,243.29
  6. Step 6: Final answer
    x = 324,212.49

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Why These Related Problems?

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