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Finding the Fourth Proportional to 465,660.30, 698,490.45 and 323,942.70

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Solution

The fourth proportional to 465,660.30, 698,490.45 and 323,942.70 is: 485,914.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,660.30 : 698,490.45 = 323,942.70 : x
  2. Step 2: Convert to fraction form
    465,660.30/698,490.45 = 323,942.70/x
  3. Step 3: Cross multiply
    465,660.30x = 698,490.45 × 323,942.70
  4. Step 4: Simplify right side
    465,660.30x = 226,270,882,297.22
  5. Step 5: Solve for x
    x = 226,270,882,297.22/465,660.30
  6. Step 6: Final answer
    x = 485,914.05

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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.