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Finding the Fourth Proportional to 307,774.20, 461,142.90 and 149,662.20

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Solution

The fourth proportional to 307,774.20, 461,142.90 and 149,662.20 is: 224,241.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,774.20 : 461,142.90 = 149,662.20 : x
  2. Step 2: Convert to fraction form
    307,774.20/461,142.90 = 149,662.20/x
  3. Step 3: Cross multiply
    307,774.20x = 461,142.90 × 149,662.20
  4. Step 4: Simplify right side
    307,774.20x = 69,015,660,928.38
  5. Step 5: Solve for x
    x = 69,015,660,928.38/307,774.20
  6. Step 6: Final answer
    x = 224,241.22

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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.