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Finding the Fourth Proportional to 206,598.40, 309,314.40 and 200,766.40

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Solution

The fourth proportional to 206,598.40, 309,314.40 and 200,766.40 is: 300,582.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,598.40 : 309,314.40 = 200,766.40 : x
  2. Step 2: Convert to fraction form
    206,598.40/309,314.40 = 200,766.40/x
  3. Step 3: Cross multiply
    206,598.40x = 309,314.40 × 200,766.40
  4. Step 4: Simplify right side
    206,598.40x = 62,099,938,556.16
  5. Step 5: Solve for x
    x = 62,099,938,556.16/206,598.40
  6. Step 6: Final answer
    x = 300,582.86

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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.