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Finding the Fourth Proportional to 405,709.20, 608,563.80 and 311,230.80

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Solution

The fourth proportional to 405,709.20, 608,563.80 and 311,230.80 is: 466,846.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,709.20 : 608,563.80 = 311,230.80 : x
  2. Step 2: Convert to fraction form
    405,709.20/608,563.80 = 311,230.80/x
  3. Step 3: Cross multiply
    405,709.20x = 608,563.80 × 311,230.80
  4. Step 4: Simplify right side
    405,709.20x = 189,403,798,325.04
  5. Step 5: Solve for x
    x = 189,403,798,325.04/405,709.20
  6. Step 6: Final answer
    x = 466,846.20

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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.