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Finding the Fourth Proportional to 419,954.70, 629,932.05 and 210,002.70

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Solution

The fourth proportional to 419,954.70, 629,932.05 and 210,002.70 is: 315,004.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,954.70 : 629,932.05 = 210,002.70 : x
  2. Step 2: Convert to fraction form
    419,954.70/629,932.05 = 210,002.70/x
  3. Step 3: Cross multiply
    419,954.70x = 629,932.05 × 210,002.70
  4. Step 4: Simplify right side
    419,954.70x = 132,287,431,316.54
  5. Step 5: Solve for x
    x = 132,287,431,316.54/419,954.70
  6. Step 6: Final answer
    x = 315,004.05

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1.5x scale

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.