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Finding the Fourth Proportional to 433,148.99, 649,834.21 and 166,838

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Solution

The fourth proportional to 433,148.99, 649,834.21 and 166,838 is: 250,299.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,148.99 : 649,834.21 = 166,838 : x
  2. Step 2: Convert to fraction form
    433,148.99/649,834.21 = 166,838/x
  3. Step 3: Cross multiply
    433,148.99x = 649,834.21 × 166,838
  4. Step 4: Simplify right side
    433,148.99x = 108,417,039,927.98
  5. Step 5: Solve for x
    x = 108,417,039,927.98/433,148.99
  6. Step 6: Final answer
    x = 250,299.65

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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.