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Finding the Fourth Proportional to 441,241.29, 661,401.14 and 216,290.25

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Solution

The fourth proportional to 441,241.29, 661,401.14 and 216,290.25 is: 324,209.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,241.29 : 661,401.14 = 216,290.25 : x
  2. Step 2: Convert to fraction form
    441,241.29/661,401.14 = 216,290.25/x
  3. Step 3: Cross multiply
    441,241.29x = 661,401.14 × 216,290.25
  4. Step 4: Simplify right side
    441,241.29x = 143,054,616,839.43
  5. Step 5: Solve for x
    x = 143,054,616,839.43/441,241.29
  6. Step 6: Final answer
    x = 324,209.50

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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.