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Finding the Fourth Proportional to 433,135.48, 649,773.30 and 133,546

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Solution

The fourth proportional to 433,135.48, 649,773.30 and 133,546 is: 200,340.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,135.48 : 649,773.30 = 133,546 : x
  2. Step 2: Convert to fraction form
    433,135.48/649,773.30 = 133,546/x
  3. Step 3: Cross multiply
    433,135.48x = 649,773.30 × 133,546
  4. Step 4: Simplify right side
    433,135.48x = 86,774,625,121.80
  5. Step 5: Solve for x
    x = 86,774,625,121.80/433,135.48
  6. Step 6: Final answer
    x = 200,340.61

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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.