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Finding the Fourth Proportional to 433,590.62, 649,941.84 and 149,195.57

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Solution

The fourth proportional to 433,590.62, 649,941.84 and 149,195.57 is: 223,640.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,590.62 : 649,941.84 = 149,195.57 : x
  2. Step 2: Convert to fraction form
    433,590.62/649,941.84 = 149,195.57/x
  3. Step 3: Cross multiply
    433,590.62x = 649,941.84 × 149,195.57
  4. Step 4: Simplify right side
    433,590.62x = 96,968,440,035.94
  5. Step 5: Solve for x
    x = 96,968,440,035.94/433,590.62
  6. Step 6: Final answer
    x = 223,640.54

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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.