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Finding the Fourth Proportional to 301,388.32, 415,932.24 and 167,255.20

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Solution

The fourth proportional to 301,388.32, 415,932.24 and 167,255.20 is: 230,821.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,388.32 : 415,932.24 = 167,255.20 : x
  2. Step 2: Convert to fraction form
    301,388.32/415,932.24 = 167,255.20/x
  3. Step 3: Cross multiply
    301,388.32x = 415,932.24 × 167,255.20
  4. Step 4: Simplify right side
    301,388.32x = 69,566,829,987.65
  5. Step 5: Solve for x
    x = 69,566,829,987.65/301,388.32
  6. Step 6: Final answer
    x = 230,821.25

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