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Finding the Fourth Proportional to 299,274.82, 448,983.51 and 112,287.94

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Solution

The fourth proportional to 299,274.82, 448,983.51 and 112,287.94 is: 168,458.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,274.82 : 448,983.51 = 112,287.94 : x
  2. Step 2: Convert to fraction form
    299,274.82/448,983.51 = 112,287.94/x
  3. Step 3: Cross multiply
    299,274.82x = 448,983.51 × 112,287.94
  4. Step 4: Simplify right side
    299,274.82x = 50,415,433,431.87
  5. Step 5: Solve for x
    x = 50,415,433,431.87/299,274.82
  6. Step 6: Final answer
    x = 168,458.65

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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.