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Finding the Fourth Proportional to 433,147.99, 649,832.71 and 166,837

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Solution

The fourth proportional to 433,147.99, 649,832.71 and 166,837 is: 250,298.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,147.99 : 649,832.71 = 166,837 : x
  2. Step 2: Convert to fraction form
    433,147.99/649,832.71 = 166,837/x
  3. Step 3: Cross multiply
    433,147.99x = 649,832.71 × 166,837
  4. Step 4: Simplify right side
    433,147.99x = 108,416,139,838.27
  5. Step 5: Solve for x
    x = 108,416,139,838.27/433,147.99
  6. Step 6: Final answer
    x = 250,298.15

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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.