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Finding the Fourth Proportional to 286,517.31, 429,185.34 and 167,828.82

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Solution

The fourth proportional to 286,517.31, 429,185.34 and 167,828.82 is: 251,397.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,517.31 : 429,185.34 = 167,828.82 : x
  2. Step 2: Convert to fraction form
    286,517.31/429,185.34 = 167,828.82/x
  3. Step 3: Cross multiply
    286,517.31x = 429,185.34 × 167,828.82
  4. Step 4: Simplify right side
    286,517.31x = 72,029,669,173.50
  5. Step 5: Solve for x
    x = 72,029,669,173.50/286,517.31
  6. Step 6: Final answer
    x = 251,397.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.