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Finding the Fourth Proportional to 433,662.84, 649,546.86 and 180,174.81

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Solution

The fourth proportional to 433,662.84, 649,546.86 and 180,174.81 is: 269,868.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,662.84 : 649,546.86 = 180,174.81 : x
  2. Step 2: Convert to fraction form
    433,662.84/649,546.86 = 180,174.81/x
  3. Step 3: Cross multiply
    433,662.84x = 649,546.86 × 180,174.81
  4. Step 4: Simplify right side
    433,662.84x = 117,031,982,086.60
  5. Step 5: Solve for x
    x = 117,031,982,086.60/433,662.84
  6. Step 6: Final answer
    x = 269,868.60

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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.