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Finding the Fourth Proportional to 307,216.40, 461,116.20 and 262,893.20

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Solution

The fourth proportional to 307,216.40, 461,116.20 and 262,893.20 is: 394,589.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,216.40 : 461,116.20 = 262,893.20 : x
  2. Step 2: Convert to fraction form
    307,216.40/461,116.20 = 262,893.20/x
  3. Step 3: Cross multiply
    307,216.40x = 461,116.20 × 262,893.20
  4. Step 4: Simplify right side
    307,216.40x = 121,224,313,389.84
  5. Step 5: Solve for x
    x = 121,224,313,389.84/307,216.40
  6. Step 6: Final answer
    x = 394,589.33

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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.