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Finding the Fourth Proportional to 301,714.32, 416,365.92 and 167,578.32

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Solution

The fourth proportional to 301,714.32, 416,365.92 and 167,578.32 is: 231,258.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,714.32 : 416,365.92 = 167,578.32 : x
  2. Step 2: Convert to fraction form
    301,714.32/416,365.92 = 167,578.32/x
  3. Step 3: Cross multiply
    301,714.32x = 416,365.92 × 167,578.32
  4. Step 4: Simplify right side
    301,714.32x = 69,773,901,378.85
  5. Step 5: Solve for x
    x = 69,773,901,378.85/301,714.32
  6. Step 6: Final answer
    x = 231,258.17

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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.