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Finding the Fourth Proportional to 437,633.80, 656,450.70 and 142,145.80

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Solution

The fourth proportional to 437,633.80, 656,450.70 and 142,145.80 is: 213,218.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,633.80 : 656,450.70 = 142,145.80 : x
  2. Step 2: Convert to fraction form
    437,633.80/656,450.70 = 142,145.80/x
  3. Step 3: Cross multiply
    437,633.80x = 656,450.70 × 142,145.80
  4. Step 4: Simplify right side
    437,633.80x = 93,311,709,912.06
  5. Step 5: Solve for x
    x = 93,311,709,912.06/437,633.80
  6. Step 6: Final answer
    x = 213,218.70

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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.