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Finding the Fourth Proportional to 433,253.92, 649,733.04 and 166,992.16

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Solution

The fourth proportional to 433,253.92, 649,733.04 and 166,992.16 is: 250,431.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,253.92 : 649,733.04 = 166,992.16 : x
  2. Step 2: Convert to fraction form
    433,253.92/649,733.04 = 166,992.16/x
  3. Step 3: Cross multiply
    433,253.92x = 649,733.04 × 166,992.16
  4. Step 4: Simplify right side
    433,253.92x = 108,500,323,772.97
  5. Step 5: Solve for x
    x = 108,500,323,772.97/433,253.92
  6. Step 6: Final answer
    x = 250,431.26

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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.