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Finding the Fourth Proportional to 330,036, 494,974.72 and 152,372.31

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Solution

The fourth proportional to 330,036, 494,974.72 and 152,372.31 is: 228,521.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,036 : 494,974.72 = 152,372.31 : x
  2. Step 2: Convert to fraction form
    330,036/494,974.72 = 152,372.31/x
  3. Step 3: Cross multiply
    330,036x = 494,974.72 × 152,372.31
  4. Step 4: Simplify right side
    330,036x = 75,420,441,478.00
  5. Step 5: Solve for x
    x = 75,420,441,478.00/330,036
  6. Step 6: Final answer
    x = 228,521.86

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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.