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Finding the Fourth Proportional to 433,151.87, 649,838.52 and 166,840.88

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Solution

The fourth proportional to 433,151.87, 649,838.52 and 166,840.88 is: 250,303.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,151.87 : 649,838.52 = 166,840.88 : x
  2. Step 2: Convert to fraction form
    433,151.87/649,838.52 = 166,840.88/x
  3. Step 3: Cross multiply
    433,151.87x = 649,838.52 × 166,840.88
  4. Step 4: Simplify right side
    433,151.87x = 108,419,627,285.51
  5. Step 5: Solve for x
    x = 108,419,627,285.51/433,151.87
  6. Step 6: Final answer
    x = 250,303.96

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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.