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Finding the Fourth Proportional to 301,434, 415,998.36 and 167,298

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Solution

The fourth proportional to 301,434, 415,998.36 and 167,298 is: 230,882.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,434 : 415,998.36 = 167,298 : x
  2. Step 2: Convert to fraction form
    301,434/415,998.36 = 167,298/x
  3. Step 3: Cross multiply
    301,434x = 415,998.36 × 167,298
  4. Step 4: Simplify right side
    301,434x = 69,595,693,631.28
  5. Step 5: Solve for x
    x = 69,595,693,631.28/301,434
  6. Step 6: Final answer
    x = 230,882.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.