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Finding the Fourth Proportional to 433,252.26, 649,893.21 and 148,940.38

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Solution

The fourth proportional to 433,252.26, 649,893.21 and 148,940.38 is: 223,415.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,252.26 : 649,893.21 = 148,940.38 : x
  2. Step 2: Convert to fraction form
    433,252.26/649,893.21 = 148,940.38/x
  3. Step 3: Cross multiply
    433,252.26x = 649,893.21 × 148,940.38
  4. Step 4: Simplify right side
    433,252.26x = 96,795,341,656.82
  5. Step 5: Solve for x
    x = 96,795,341,656.82/433,252.26
  6. Step 6: Final answer
    x = 223,415.66

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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.