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Finding the Fourth Proportional to 259,433.40, 389,441.70 and 200,530.20

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Solution

The fourth proportional to 259,433.40, 389,441.70 and 200,530.20 is: 301,020.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,433.40 : 389,441.70 = 200,530.20 : x
  2. Step 2: Convert to fraction form
    259,433.40/389,441.70 = 200,530.20/x
  3. Step 3: Cross multiply
    259,433.40x = 389,441.70 × 200,530.20
  4. Step 4: Simplify right side
    259,433.40x = 78,094,821,989.34
  5. Step 5: Solve for x
    x = 78,094,821,989.34/259,433.40
  6. Step 6: Final answer
    x = 301,020.69

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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.