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Finding the Fourth Proportional to 259,742.20, 389,613.30 and 259,742.20

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Solution

The fourth proportional to 259,742.20, 389,613.30 and 259,742.20 is: 389,613.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,742.20 : 389,613.30 = 259,742.20 : x
  2. Step 2: Convert to fraction form
    259,742.20/389,613.30 = 259,742.20/x
  3. Step 3: Cross multiply
    259,742.20x = 389,613.30 × 259,742.20
  4. Step 4: Simplify right side
    259,742.20x = 101,199,015,691.26
  5. Step 5: Solve for x
    x = 101,199,015,691.26/259,742.20
  6. Step 6: Final answer
    x = 389,613.30

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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.