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Finding the Fourth Proportional to 301,489, 416,054.82 and 167,365.48

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Solution

The fourth proportional to 301,489, 416,054.82 and 167,365.48 is: 230,964.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,489 : 416,054.82 = 167,365.48 : x
  2. Step 2: Convert to fraction form
    301,489/416,054.82 = 167,365.48/x
  3. Step 3: Cross multiply
    301,489x = 416,054.82 × 167,365.48
  4. Step 4: Simplify right side
    301,489x = 69,633,214,655.61
  5. Step 5: Solve for x
    x = 69,633,214,655.61/301,489
  6. Step 6: Final answer
    x = 230,964.36

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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.