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Finding the Fourth Proportional to 512,524.40, 766,972.20 and 446,687.60

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Solution

The fourth proportional to 512,524.40, 766,972.20 and 446,687.60 is: 668,450.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,524.40 : 766,972.20 = 446,687.60 : x
  2. Step 2: Convert to fraction form
    512,524.40/766,972.20 = 446,687.60/x
  3. Step 3: Cross multiply
    512,524.40x = 766,972.20 × 446,687.60
  4. Step 4: Simplify right side
    512,524.40x = 342,596,971,284.72
  5. Step 5: Solve for x
    x = 342,596,971,284.72/512,524.40
  6. Step 6: Final answer
    x = 668,450.07

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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.