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Finding the Fourth Proportional to 339,949.40, 509,486.70 and 206,688.20

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Solution

The fourth proportional to 339,949.40, 509,486.70 and 206,688.20 is: 309,766.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,949.40 : 509,486.70 = 206,688.20 : x
  2. Step 2: Convert to fraction form
    339,949.40/509,486.70 = 206,688.20/x
  3. Step 3: Cross multiply
    339,949.40x = 509,486.70 × 206,688.20
  4. Step 4: Simplify right side
    339,949.40x = 105,304,888,946.94
  5. Step 5: Solve for x
    x = 105,304,888,946.94/339,949.40
  6. Step 6: Final answer
    x = 309,766.36

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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.