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Finding the Fourth Proportional to 299,786.52, 449,673.48 and 97,382.46

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Solution

The fourth proportional to 299,786.52, 449,673.48 and 97,382.46 is: 146,071.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,786.52 : 449,673.48 = 97,382.46 : x
  2. Step 2: Convert to fraction form
    299,786.52/449,673.48 = 97,382.46/x
  3. Step 3: Cross multiply
    299,786.52x = 449,673.48 × 97,382.46
  4. Step 4: Simplify right side
    299,786.52x = 43,790,309,679.16
  5. Step 5: Solve for x
    x = 43,790,309,679.16/299,786.52
  6. Step 6: Final answer
    x = 146,071.64

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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.