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Finding the Fourth Proportional to 332,116.70, 498,175.05 and 309,809.30

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Solution

The fourth proportional to 332,116.70, 498,175.05 and 309,809.30 is: 464,713.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,116.70 : 498,175.05 = 309,809.30 : x
  2. Step 2: Convert to fraction form
    332,116.70/498,175.05 = 309,809.30/x
  3. Step 3: Cross multiply
    332,116.70x = 498,175.05 × 309,809.30
  4. Step 4: Simplify right side
    332,116.70x = 154,339,263,517.97
  5. Step 5: Solve for x
    x = 154,339,263,517.97/332,116.70
  6. Step 6: Final answer
    x = 464,713.95

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Why These Related Problems?

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