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Finding the Fourth Proportional to 433,003.56, 649,343.80 and 148,613.41

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Solution

The fourth proportional to 433,003.56, 649,343.80 and 148,613.41 is: 222,864.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,003.56 : 649,343.80 = 148,613.41 : x
  2. Step 2: Convert to fraction form
    433,003.56/649,343.80 = 148,613.41/x
  3. Step 3: Cross multiply
    433,003.56x = 649,343.80 × 148,613.41
  4. Step 4: Simplify right side
    433,003.56x = 96,501,197,377.80
  5. Step 5: Solve for x
    x = 96,501,197,377.80/433,003.56
  6. Step 6: Final answer
    x = 222,864.68

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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.