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Finding the Fourth Proportional to 437,321.40, 656,273.70 and 200,542.20

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Solution

The fourth proportional to 437,321.40, 656,273.70 and 200,542.20 is: 300,947.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,321.40 : 656,273.70 = 200,542.20 : x
  2. Step 2: Convert to fraction form
    437,321.40/656,273.70 = 200,542.20/x
  3. Step 3: Cross multiply
    437,321.40x = 656,273.70 × 200,542.20
  4. Step 4: Simplify right side
    437,321.40x = 131,610,571,600.14
  5. Step 5: Solve for x
    x = 131,610,571,600.14/437,321.40
  6. Step 6: Final answer
    x = 300,947.02

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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.