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Finding the Fourth Proportional to 433,044.36, 649,377 and 230,597.82

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Solution

The fourth proportional to 433,044.36, 649,377 and 230,597.82 is: 345,795.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,044.36 : 649,377 = 230,597.82 : x
  2. Step 2: Convert to fraction form
    433,044.36/649,377 = 230,597.82/x
  3. Step 3: Cross multiply
    433,044.36x = 649,377 × 230,597.82
  4. Step 4: Simplify right side
    433,044.36x = 149,744,920,558.14
  5. Step 5: Solve for x
    x = 149,744,920,558.14/433,044.36
  6. Step 6: Final answer
    x = 345,795.80

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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.