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Finding the Fourth Proportional to 285,906.23, 428,769.00 and 96,322.41

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Solution

The fourth proportional to 285,906.23, 428,769.00 and 96,322.41 is: 144,453.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,906.23 : 428,769.00 = 96,322.41 : x
  2. Step 2: Convert to fraction form
    285,906.23/428,769.00 = 96,322.41/x
  3. Step 3: Cross multiply
    285,906.23x = 428,769.00 × 96,322.41
  4. Step 4: Simplify right side
    285,906.23x = 41,300,064,244.41
  5. Step 5: Solve for x
    x = 41,300,064,244.41/285,906.23
  6. Step 6: Final answer
    x = 144,453.18

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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.