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Finding the Fourth Proportional to 206,597.40, 309,312.90 and 200,765.40

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Solution

The fourth proportional to 206,597.40, 309,312.90 and 200,765.40 is: 300,581.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,597.40 : 309,312.90 = 200,765.40 : x
  2. Step 2: Convert to fraction form
    206,597.40/309,312.90 = 200,765.40/x
  3. Step 3: Cross multiply
    206,597.40x = 309,312.90 × 200,765.40
  4. Step 4: Simplify right side
    206,597.40x = 62,099,328,093.66
  5. Step 5: Solve for x
    x = 62,099,328,093.66/206,597.40
  6. Step 6: Final answer
    x = 300,581.36

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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.