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Finding the Fourth Proportional to 259,426.40, 389,431.20 and 200,523.20

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Solution

The fourth proportional to 259,426.40, 389,431.20 and 200,523.20 is: 301,010.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,426.40 : 389,431.20 = 200,523.20 : x
  2. Step 2: Convert to fraction form
    259,426.40/389,431.20 = 200,523.20/x
  3. Step 3: Cross multiply
    259,426.40x = 389,431.20 × 200,523.20
  4. Step 4: Simplify right side
    259,426.40x = 78,089,990,403.84
  5. Step 5: Solve for x
    x = 78,089,990,403.84/259,426.40
  6. Step 6: Final answer
    x = 301,010.19

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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.