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Finding the Fourth Proportional to 299,453.45, 448,786.50 and 147,733.97

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Solution

The fourth proportional to 299,453.45, 448,786.50 and 147,733.97 is: 221,406.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,453.45 : 448,786.50 = 147,733.97 : x
  2. Step 2: Convert to fraction form
    299,453.45/448,786.50 = 147,733.97/x
  3. Step 3: Cross multiply
    299,453.45x = 448,786.50 × 147,733.97
  4. Step 4: Simplify right side
    299,453.45x = 66,301,009,083.47
  5. Step 5: Solve for x
    x = 66,301,009,083.47/299,453.45
  6. Step 6: Final answer
    x = 221,406.73

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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.