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Finding the Fourth Proportional to 259,712.40, 389,860.20 and 200,809.20

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Solution

The fourth proportional to 259,712.40, 389,860.20 and 200,809.20 is: 301,439.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,712.40 : 389,860.20 = 200,809.20 : x
  2. Step 2: Convert to fraction form
    259,712.40/389,860.20 = 200,809.20/x
  3. Step 3: Cross multiply
    259,712.40x = 389,860.20 × 200,809.20
  4. Step 4: Simplify right side
    259,712.40x = 78,287,514,873.84
  5. Step 5: Solve for x
    x = 78,287,514,873.84/259,712.40
  6. Step 6: Final answer
    x = 301,439.26

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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.