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Finding the Fourth Proportional to 282,418.21, 389,792.34 and 175,035.97

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Solution

The fourth proportional to 282,418.21, 389,792.34 and 175,035.97 is: 241,583.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,418.21 : 389,792.34 = 175,035.97 : x
  2. Step 2: Convert to fraction form
    282,418.21/389,792.34 = 175,035.97/x
  3. Step 3: Cross multiply
    282,418.21x = 389,792.34 × 175,035.97
  4. Step 4: Simplify right side
    282,418.21x = 68,227,677,506.33
  5. Step 5: Solve for x
    x = 68,227,677,506.33/282,418.21
  6. Step 6: Final answer
    x = 241,583.85

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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.