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Finding the Fourth Proportional to 433,196.34, 649,905.21 and 166,885.44

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Solution

The fourth proportional to 433,196.34, 649,905.21 and 166,885.44 is: 250,370.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,196.34 : 649,905.21 = 166,885.44 : x
  2. Step 2: Convert to fraction form
    433,196.34/649,905.21 = 166,885.44/x
  3. Step 3: Cross multiply
    433,196.34x = 649,905.21 × 166,885.44
  4. Step 4: Simplify right side
    433,196.34x = 108,459,716,929.14
  5. Step 5: Solve for x
    x = 108,459,716,929.14/433,196.34
  6. Step 6: Final answer
    x = 250,370.81

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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.