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Finding the Fourth Proportional to 307,918, 461,890.44 and 97,571.44

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Solution

The fourth proportional to 307,918, 461,890.44 and 97,571.44 is: 146,361.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,918 : 461,890.44 = 97,571.44 : x
  2. Step 2: Convert to fraction form
    307,918/461,890.44 = 97,571.44/x
  3. Step 3: Cross multiply
    307,918x = 461,890.44 × 97,571.44
  4. Step 4: Simplify right side
    307,918x = 45,067,315,353.03
  5. Step 5: Solve for x
    x = 45,067,315,353.03/307,918
  6. Step 6: Final answer
    x = 146,361.42

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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.