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Finding the Fourth Proportional to 648,450, 972,679.32 and 205,218

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Solution

The fourth proportional to 648,450, 972,679.32 and 205,218 is: 307,828.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,450 : 972,679.32 = 205,218 : x
  2. Step 2: Convert to fraction form
    648,450/972,679.32 = 205,218/x
  3. Step 3: Cross multiply
    648,450x = 972,679.32 × 205,218
  4. Step 4: Simplify right side
    648,450x = 199,611,304,691.76
  5. Step 5: Solve for x
    x = 199,611,304,691.76/648,450
  6. Step 6: Final answer
    x = 307,828.37

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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.