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Finding the Fourth Proportional to 432,879.67, 649,390.52 and 133,353.55

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Solution

The fourth proportional to 432,879.67, 649,390.52 and 133,353.55 is: 200,052.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,879.67 : 649,390.52 = 133,353.55 : x
  2. Step 2: Convert to fraction form
    432,879.67/649,390.52 = 133,353.55/x
  3. Step 3: Cross multiply
    432,879.67x = 649,390.52 × 133,353.55
  4. Step 4: Simplify right side
    432,879.67x = 86,598,531,178.35
  5. Step 5: Solve for x
    x = 86,598,531,178.35/432,879.67
  6. Step 6: Final answer
    x = 200,052.20

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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.