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Finding the Fourth Proportional to 259,727.40, 389,882.70 and 200,824.20

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Solution

The fourth proportional to 259,727.40, 389,882.70 and 200,824.20 is: 301,461.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,727.40 : 389,882.70 = 200,824.20 : x
  2. Step 2: Convert to fraction form
    259,727.40/389,882.70 = 200,824.20/x
  3. Step 3: Cross multiply
    259,727.40x = 389,882.70 × 200,824.20
  4. Step 4: Simplify right side
    259,727.40x = 78,297,881,321.34
  5. Step 5: Solve for x
    x = 78,297,881,321.34/259,727.40
  6. Step 6: Final answer
    x = 301,461.77

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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.