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Finding the Fourth Proportional to 339,967.40, 509,513.70 and 206,706.20

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Solution

The fourth proportional to 339,967.40, 509,513.70 and 206,706.20 is: 309,793.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,967.40 : 509,513.70 = 206,706.20 : x
  2. Step 2: Convert to fraction form
    339,967.40/509,513.70 = 206,706.20/x
  3. Step 3: Cross multiply
    339,967.40x = 509,513.70 × 206,706.20
  4. Step 4: Simplify right side
    339,967.40x = 105,319,640,774.94
  5. Step 5: Solve for x
    x = 105,319,640,774.94/339,967.40
  6. Step 6: Final answer
    x = 309,793.35

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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.