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Finding the Fourth Proportional to 259,367.40, 389,342.70 and 200,464.20

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Solution

The fourth proportional to 259,367.40, 389,342.70 and 200,464.20 is: 300,921.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,367.40 : 389,342.70 = 200,464.20 : x
  2. Step 2: Convert to fraction form
    259,367.40/389,342.70 = 200,464.20/x
  3. Step 3: Cross multiply
    259,367.40x = 389,342.70 × 200,464.20
  4. Step 4: Simplify right side
    259,367.40x = 78,049,272,881.34
  5. Step 5: Solve for x
    x = 78,049,272,881.34/259,367.40
  6. Step 6: Final answer
    x = 300,921.68

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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.