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Finding the Fourth Proportional to 433,396.66, 649,933.35 and 149,006.69

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Solution

The fourth proportional to 433,396.66, 649,933.35 and 149,006.69 is: 223,454.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,396.66 : 649,933.35 = 149,006.69 : x
  2. Step 2: Convert to fraction form
    433,396.66/649,933.35 = 149,006.69/x
  3. Step 3: Cross multiply
    433,396.66x = 649,933.35 × 149,006.69
  4. Step 4: Simplify right side
    433,396.66x = 96,844,420,326.96
  5. Step 5: Solve for x
    x = 96,844,420,326.96/433,396.66
  6. Step 6: Final answer
    x = 223,454.47

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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.