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Finding the Fourth Proportional to 433,213.72, 649,543.78 and 208,126.31

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Solution

The fourth proportional to 433,213.72, 649,543.78 and 208,126.31 is: 312,056.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,213.72 : 649,543.78 = 208,126.31 : x
  2. Step 2: Convert to fraction form
    433,213.72/649,543.78 = 208,126.31/x
  3. Step 3: Cross multiply
    433,213.72x = 649,543.78 × 208,126.31
  4. Step 4: Simplify right side
    433,213.72x = 135,187,151,366.33
  5. Step 5: Solve for x
    x = 135,187,151,366.33/433,213.72
  6. Step 6: Final answer
    x = 312,056.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.