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Finding the Fourth Proportional to 361,288.29, 541,993.32 and 133,597.29

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Solution

The fourth proportional to 361,288.29, 541,993.32 and 133,597.29 is: 200,418.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,288.29 : 541,993.32 = 133,597.29 : x
  2. Step 2: Convert to fraction form
    361,288.29/541,993.32 = 133,597.29/x
  3. Step 3: Cross multiply
    361,288.29x = 541,993.32 × 133,597.29
  4. Step 4: Simplify right side
    361,288.29x = 72,408,838,750.10
  5. Step 5: Solve for x
    x = 72,408,838,750.10/361,288.29
  6. Step 6: Final answer
    x = 200,418.45

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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.