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Finding the Fourth Proportional to 433,018.16, 649,553.82 and 166,779.46

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Solution

The fourth proportional to 433,018.16, 649,553.82 and 166,779.46 is: 250,179.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,018.16 : 649,553.82 = 166,779.46 : x
  2. Step 2: Convert to fraction form
    433,018.16/649,553.82 = 166,779.46/x
  3. Step 3: Cross multiply
    433,018.16x = 649,553.82 × 166,779.46
  4. Step 4: Simplify right side
    433,018.16x = 108,332,235,527.06
  5. Step 5: Solve for x
    x = 108,332,235,527.06/433,018.16
  6. Step 6: Final answer
    x = 250,179.43

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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.