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Finding the Fourth Proportional to 323,268, 446,107.38 and 187,299.06

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Solution

The fourth proportional to 323,268, 446,107.38 and 187,299.06 is: 258,471.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,268 : 446,107.38 = 187,299.06 : x
  2. Step 2: Convert to fraction form
    323,268/446,107.38 = 187,299.06/x
  3. Step 3: Cross multiply
    323,268x = 446,107.38 × 187,299.06
  4. Step 4: Simplify right side
    323,268x = 83,555,492,933.06
  5. Step 5: Solve for x
    x = 83,555,492,933.06/323,268
  6. Step 6: Final answer
    x = 258,471.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.