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Finding the Fourth Proportional to 307,662.98, 461,492.34 and 165,575.09

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Solution

The fourth proportional to 307,662.98, 461,492.34 and 165,575.09 is: 248,361.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,662.98 : 461,492.34 = 165,575.09 : x
  2. Step 2: Convert to fraction form
    307,662.98/461,492.34 = 165,575.09/x
  3. Step 3: Cross multiply
    307,662.98x = 461,492.34 × 165,575.09
  4. Step 4: Simplify right side
    307,662.98x = 76,411,633,422.35
  5. Step 5: Solve for x
    x = 76,411,633,422.35/307,662.98
  6. Step 6: Final answer
    x = 248,361.49

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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.